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Astronomical calculations

Srimad-Bhagavatam

SB Canto 1

Astronomical calculations of stellar influences upon a living being are not suppositions, but are factual, as confirmed in Śrīmad-Bhāgavatam.
SB 1.12.12, Purport:

Astronomical calculations of stellar influences upon a living being are not suppositions, but are factual, as confirmed in Śrīmad-Bhāgavatam. Every living being is controlled by the laws of nature at every minute, just as a citizen is controlled by the influence of the state. The state laws are grossly observed, but the laws of material nature, being subtle to our gross understanding, cannot be experienced grossly. As stated in the Bhagavad-gītā (3.9), every action of life produces another reaction, which is binding upon us, and only those who are acting on behalf of Yajña (Viṣṇu) are not bound by reactions. Our actions are judged by the higher authorities, the agents of the Lord, and thus we are awarded bodies according to our activities. The law of nature is so subtle that every part of our body is influenced by the respective stars, and a living being obtains his working body to fulfill his terms of imprisonment by the manipulation of such astronomical influence. A man's destiny is therefore ascertained by the birthtime constellation of stars, and a factual horoscope is made by a learned astrologer. It is a great science, and misuse of a science does not make it useless.

SB Canto 3

The birth date of Brahmā is in the month of March, according to Hindu astronomical calculation.
SB 3.11.35, Purport:

According to Padma Purāṇa (Prabhāsa-khaṇḍa), in thirty days of Brahmā many kalpas take place, such as the Varāha-kalpa and Pitṛ-kalpa. Thirty days make one month of Brahmā, beginning from the full moon to the disappearance of the moon. Twelve such months complete one year, and fifty years complete one parārdha, or one half the duration of the life of Brahmā. The Śveta-varāha appearance of the Lord is the first birthday of Brahmā. The birth date of Brahmā is in the month of March, according to Hindu astronomical calculation. This statement is reproduced from the explanation of Śrīla Viśvanātha Cakravartī Ṭhākura.

All the divisions in this verse are determined according to the astronomical calculations of Vedic literature.
SB 3.21.18, Purport:

The time factor is divided into many fractions of moments, hours, months, years, periods, seasons, etc. All the divisions in this verse are determined according to the astronomical calculations of Vedic literature. There are six seasons, called ṛtus, and there is the period of four months called cāturmāsya. Three periods of four months complete one year. According to Vedic astronomical calculations, there are thirteen months. The thirteenth month is called adhi-māsa or mala-māsa and is added every third year. The time factor, however, cannot touch the lifespan of the devotees. In another verse it is stated that when the sun rises and sets it takes away the life of all living entities, but it cannot take away the life of those who are engaged in devotional service. Time is compared here to a big wheel which has 360 joints, six rims in the shape of seasons, and numberless leaves in the shape of moments. It rotates on the eternal existence, Brahman.

SB Canto 4

According to astronomical calculation, along with the polestar there is another star, which is called Śiśumāra, where Lord Viṣṇu, who is in charge of the maintenance of this material world, resides.
SB 4.12.27, Purport:

According to astronomical calculation, along with the polestar there is another star, which is called Śiśumāra, where Lord Viṣṇu, who is in charge of the maintenance of this material world, resides. Śiśumāra or Dhruvaloka can never be reached by anyone but the Vaiṣṇavas, as will be described by the following ślokas. The associates of Lord Viṣṇu brought the special airplane for Dhruva Mahārāja and then informed him that Lord Viṣṇu had especially sent this airplane.

SB Canto 5

Even if modern scientists do not accept the other factual presentations of Śrīmad-Bhāgavatam, how can they deny the perfect astronomical calculations that existed long before they could imagine such things?
SB 5.20.37, Purport:

This vivid description of how the rays of the sun are distributed throughout the different planetary systems of the universe is very scientific. Śukadeva Gosvāmī described these universal affairs to Mahārāja Parīkṣit as he had heard about them from his predecessor. He explained these facts five thousand years ago, but the knowledge existed long, long before because Śukadeva Gosvāmī received it through disciplic succession. Because this knowledge is accepted through the disciplic succession, it is perfect. The history of modern scientific knowledge, on the contrary, does not go back more than a few hundred years. Therefore, even if modern scientists do not accept the other factual presentations of Śrīmad-Bhāgavatam, how can they deny the perfect astronomical calculations that existed long before they could imagine such things? There is so much information to gather from Śrīmad-Bhāgavatam. Modern scientists, however, have no information of other planetary systems and, indeed, are hardly conversant with the planet on which we are now living.

The technical terms used in the astronomical calculations given by the Jyotir Veda are difficult to translate into English.
SB 5.20.38, Purport:

Śrīla Viśvanātha Cakravartī Ṭhākura has given accurate astronomical information about the location of Lokāloka Mountain, the movements of the sun globe and the distance between the sun and the circumference of the universe. However, the technical terms used in the astronomical calculations given by the Jyotir Veda are difficult to translate into English. Therefore to satisfy the reader, we may include the exact Sanskrit statement given by Śrīla Viśvanātha Cakravartī Ṭhākura, which records exact calculations regarding universal affairs.

According to solar astronomical calculations, each year extends six days beyond the calendar year, and according to lunar calculations, each year is six days shorter.
SB 5.22.7, Purport:

According to solar astronomical calculations, each year extends six days beyond the calendar year, and according to lunar calculations, each year is six days shorter. Therefore, because of the movements of the sun and moon, there is a difference of twelve days between the solar and lunar years. As the Saṁvatsara, Parivatsara, Iḍāvatsara, Anuvatsara and Vatsara pass by, two extra months are added within each five years. This makes a sixth saṁvatsara, but because that saṁvatsara is extra, the solar system is calculated according to the above five names.

These Vedic calculations are steady; the astronomical calculations made long ago and recorded in the Vedic literature are correct even now.
SB 5.22.8, Purport:

When we take into account that the moon is 100,000 yojanas, or 800,000 miles, above the rays of the sunshine, it is very surprising that the modern excursions to the moon could be possible. Since the moon is so distant, how space vehicles could go there is a doubtful mystery. Modern scientific calculations are subject to one change after another, and therefore they are uncertain. We have to accept the calculations of the Vedic literature. These Vedic calculations are steady; the astronomical calculations made long ago and recorded in the Vedic literature are correct even now. Whether the Vedic calculations or modern ones are better may remain a mystery for others, but as far as we are concerned, we accept the Vedic calculations to be correct.

Other stars are also fixed on different sides of the Śiśumāra planetary system according to the calculations of Vedic astronomers.
SB 5.23 Summary:

Those who worship the virāṭ-puruṣa, the universal form of the Lord, conceive of this entire rotating system of planets as an animal known as śiśumāra. This imaginary śiśumāra is another form of the Lord. The head of the śiśumāra form is downward, and its body appears like that of a coiled snake. On the end of its tail is Dhruvaloka, on the body of the tail are Prajāpati, Agni, Indra and Dharma, and on the root of the tail are Dhātā and Vidhātā. On its waist are the seven great sages. The entire body of the śiśumāra faces toward its right and appears like a coil of stars. On the right side of this coil are the fourteen prominent stars from Abhijit to Punarvasu, and on the left side are the fourteen prominent stars from Puṣyā to Uttarāṣāḍhā. The stars known as Punarvasu and Puṣyā are on the right and left hips of the śiśumāra, and the stars known as Ārdrā and Aśleṣā are on the right and left feet of the śiśumāra. Other stars are also fixed on different sides of the Śiśumāra planetary system according to the calculations of Vedic astronomers. To concentrate their minds, yogīs worship the Śiśumāra planetary system, which is technically known as the kuṇḍalini-cakra.

SB Canto 6

According to Vedic astronomical calculations, day and night are each divided into thirty ghaṭikās (twenty-four minutes), instead of twelve hours.
SB 6.8.20, Purport:

According to Vedic astronomical calculations, day and night are each divided into thirty ghaṭikās (twenty-four minutes), instead of twelve hours. Generally, each day and each night is divided into six parts consisting of five ghaṭikās. In each of these six portions of the day and night, the Lord may be addressed for protection according to different names. Lord Keśava, the proprietor of the holy place of Mathurā, is the Lord of the first portion of the day, and Govinda, the Lord of Vṛndāvana. is the master of the second portion.

SB Canto 8

According to astronomical calculations, we are now in the twenty-eighth yuga of Vaivasvata Manu.
SB 8.13.11, Purport:

The present reign is that of Vaivasvata Manu. According to astronomical calculations, we are now in the twenty-eighth yuga of Vaivasvata Manu. Each Manu lives for seventy-one yugas, and fourteen such Manus rule in one day of Lord Brahmā. We are now in the period of Vaivasvata Manu, the seventh Manu, and the eighth Manu will come into existence after many millions of years. But Śukadeva Gosvāmī, having heard from authorities, foretells that the eighth Manu will be Sāvarṇi and that Nirmoka and Virajaska will be among his sons. Śāstra can foretell what will happen millions and millions of years in the future.

Sri Caitanya-caritamrta

CC Adi-lila

1,975,320,000 years of the day of Brahmā elapse before the appearance of Lord Kṛṣṇa. This is an astronomical calculation according to solar years.
CC Adi 3.10, Purport:

From the beginning of Brahmā’s day of 4,320,000,000 years, six Manus appear and disappear before Lord Kṛṣṇa appears. Thus 1,975,320,000 years of the day of Brahmā elapse before the appearance of Lord Kṛṣṇa. This is an astronomical calculation according to solar years.

According to astronomical calculation, the age is divided into twelve parts. The first of these twelve divisions is known as the prathama-sandhyā.
CC Adi 3.29, Purport:

The prathama-sandhyā is the beginning of the age. According to astronomical calculation, the age is divided into twelve parts. The first of these twelve divisions is known as the prathama-sandhyā. The prathama-sandhyā and śeṣa-sandhyā, the last division of the preceding age, form the junction of the two ages. According to the Sūrya-siddhānta, the prathama-sandhyā of Kali-yuga lasts 36,000 solar years. Lord Caitanya appeared in the prathama-sandhyā after 4,586 solar years of Kali-yuga had passed.

CC Madhya-lila

There is always a difference of opinion between a smārta-brāhmaṇa and a Vaiṣṇava gosvāmī. There are even smārta opinions and Vaiṣṇava gosvāmī opinions available in astrological and astronomical calculations.
CC Madhya 3.85, Purport:

There is always a difference of opinion between a smārta-brāhmaṇa and a Vaiṣṇava gosvāmī. There are even smārta opinions and Vaiṣṇava gosvāmī opinions available in astrological and astronomical calculations. By calling Nityānanda Prabhu a bhraṣṭa avadhūta (a rejected paramahaṁsa), Advaita Ācārya Prabhu in a sense accepted Nityānanda Prabhu as a paramahaṁsa. In other words, Nityānanda Prabhu had nothing to do with the rules governing smārta-brāhmaṇas. Thus under pretense of condemning Him, Advaita Ācārya was actually praising Him. In the avadhūta stage, the paramahaṁsa stage, which is the supermost stage, one may appear to be viṣayī, on the platform of sense gratification, but in actuality he has nothing to do with sense gratification. At that stage, a person sometimes accepts the symbols and dress of a sannyāsī and sometimes does not. Sometimes he dresses like a householder. We should know, however, that these are all joking words between Advaita Ācārya and Nityānanda Prabhu. They are not to be taken as insults.

CC Madhya 20.388, Translation:

"According to Vedic astronomical calculations, the rotation of the sun consists of sixty daṇḍas, and it is divided into thirty-six hundred palas."

According to astronomical calculations, a lava is one eleventh of a second.
CC Madhya 22.54, Translation and Purport:

"The verdict of all revealed scriptures is that by even a moment's association with a pure devotee, one can attain all success."

According to astronomical calculations, a lava is one eleventh of a second.

Other Books by Srila Prabhupada

Nectar of Devotion

According to Vedic astronomical calculation, if there is rain during the constellation of the Svātī star, any rain falling on the sea will produce pearls, and rain falling on a serpent will produce jewels.
Nectar of Devotion 42:

When Kṛṣṇa used to play on His flute, the vibration appeared just like the roaring of clouds in the sky during the constellation of Svātī. According to Vedic astronomical calculation, if there is rain during the constellation of the Svātī star, any rain falling on the sea will produce pearls, and rain falling on a serpent will produce jewels. Similarly, when Kṛṣṇa's flute roared like a thundercloud under the Svātī constellation, the resulting perspiration on Śrīdāmā's body appeared to be just like pearls.

Krsna, The Supreme Personality of Godhead

According to astronomical calculations, the time in which Nanda Mahārāja took a bath was considered demoniac.
Krsna Book 28:

The Govardhana-pūjā ceremony took place on the new-moon day. After this, there were torrents of rain and hailstorms imposed by King Indra for seven days. Nine days of the waxing moon having passed, on the tenth day King Indra worshiped Lord Kṛṣṇa, and thus the matter was satisfactorily settled. After this, on the eleventh day of the full moon, Ekādaśī, Mahārāja Nanda observed fasting for the whole day, and just early in the morning of the next day, Dvādaśī, he went to take a bath in the river Yamunā. He entered deep into the water of the river, but he was arrested immediately by one of the servants of Varuṇadeva. This servant brought Nanda Mahārāja before the demigod Varuṇa and accused him of taking a bath in the river at the wrong time. According to astronomical calculations, the time in which he took a bath was considered demoniac. The fact was that Nanda Mahārāja wanted to take a bath in the river Yamunā early in the morning before the sunrise, but somehow or other he was a little too early, and he bathed at an inauspicious time. Consequently he was arrested.

By astronomical calculation, people were informed about this great eclipse prior to its taking place, and therefore everyone, both men and women, decided to assemble at the holy place in Kurukṣetra known as Samanta-pañcaka.
Krsna Book 82:

Once upon a time while Lord Kṛṣṇa and Balarāma were living peacefully in Their great city of Dvārakā, there was the rare occasion of a full solar eclipse, such as takes place at the end of every kalpa, or day of Brahmā. At the end of every kalpa the sun is covered by a great cloud, and incessant rain covers the lower planetary systems up to Svargaloka. By astronomical calculation, people were informed about this great eclipse prior to its taking place, and therefore everyone, both men and women, decided to assemble at the holy place in Kurukṣetra known as Samanta-pañcaka.

Lectures

Bhagavad-gita As It Is Lectures

Now as there are innumerable universes, there may be innumerable suns also.
Lecture on BG 2.9 -- Auckland, February 21, 1973:

Prabhupāda: What is that astronomical calculation?

Madhudviṣa: He is saying that this... Do you understand the question?

Prabhupāda: No. Explain.

Madhudviṣa: He is saying that in your teachings you say the sun is the only self-illuminous body in the universe, whereas the scientists say that there is many millions of stars that are in the sky that are also self-illuminous.

Prabhupāda: No. We say that there are innumerable universes. We say.

Man (2): But in this particular universe, we're talking about.

Prabhupāda: Yes. Yasya prabhā prabhavato jagad-aṇḍa-koṭi (Bs. 5.40). Jagad-aṇḍa-koṭi. Jagad-aṇḍa means universe, and koṭi means millions. So there are millions and millions of universes, and in each universe there are millions and millions of planets. Yasya prabhā prabhavato jagad-aṇḍa-koṭi-koṭiṣv aśeṣa-vasudhādi-vibhūti-bhinnam (Bs. 5.40). And each planet is differently constituted. The atmosphere of each planet is different from another. This is God's creation. Now as there are innumerable universes, there may be innumerable suns also.

Everyone in big, big planetary system, they are working very systematically. The astronomical calculation is so perfect that, they say, one ten-thousandth part of a second is also calculated.
Lecture on BG 2.11 -- Mauritius, October 1, 1975:

Without a supreme person nothing can be managed, order-giving person. This is everlastingly existing, and you cannot avoid this. Even in Communist country they also have the supreme person, dictator. So taking the whole universal affair, the nature, how things are going on... The sun is rising early in the morning. It is setting exactly in due time. Then the moon is coming. Everyone in big, big planetary system, they are working very systematically. The astronomical calculation is so perfect that, they say, one ten-thousandth part of a second is also calculated. So accurately things are moving.

In your country I do not know what is the astronomical almanac, but in India there is very minute calculation of astronomical situation. When a man is born, his horoscope is made, and when a man dies, how does he go, where he is going, what is his situation, by astronomical calculation they can say.
Lecture on BG 8.22-27 -- New York, November 20, 1966:

Now Kṛṣṇa is explaining that "My dear Arjuna, there are different time indication of passing away from this material world. That I am explaining to you." Yatra kāle, the time. Now suppose at a particular... There are different... Of course, in your country I do not know what is the astronomical almanac, but in India there is very minute calculation of astronomical situation. When a man is born, his horoscope is made, and when a man dies, how does he go, where he is going, what is his situation, by astronomical calculation they can say. So Kṛṣṇa also, accepting that principle, and He's confirming herewith that yatra kāle tu anāvṛttim. If some, at some particular time I leave this body, then I may become liberated. That means no more my birth in this material world. Similarly, if I die at a particular moment, I may..., I'll have to come back again in this material world. It is all chance. But that chance, accidentally or by some way or other one may have. But, for the devotee, there is no such chance. He is surely, he is surely. Because devotee... Sadā tad-bhāva-bhāvitaḥ (BG 8.6). A devotee is always in Kṛṣṇa consciousness. So there is no question of chance. He does not give any chance to think otherwise. Therefore he is guaranteed. But for others there are some chances like that, that in particular moment if he dies, if he leaves this body, then he can enter into the spiritual kingdom.

Srimad-Bhagavatam Lectures

Our, in our practical experience, if he has got heavy body, he moves like this. He's not steady. But such a huge body is exactly... According to astronomical calculation, they calculate, some one ten-thousandth part of a second, in this way.
Lecture on SB 1.2.17 -- Los Angeles, August 20, 1972:

The sun is so big, fourteen hundred thousand times bigger than this earth, and so powerful, blazing fire. You know, those who are scientific men, they know, the sun has got his orbit, and little deviation from the orbit can turn the whole world into snow, and turn the whole world into blazing fire. Where is our scientist friend? Is it not a fact? (Svarūpa Dāmodara makes reply) Yes. It is running under certain orbit exactly, because a little deviation from the orbit will create havoc, catastrophe. Immediately. Either fire or snow. So under whose order the sun is so strictly following the demarcation? Such a big body. Our, in our practical experience, if he has got heavy body, he moves like this. He's not steady. But such a huge body is exactly... According to astronomical calculation, they calculate, some one ten-thousandth part of a second, in this way.

According to astronomical calculation, the planets and the universe, they can increase. So the Absolute Truth, that is eternally increasing.
Lecture on SB 1.5.4 -- Los Angeles, January 12, 1968:

Sanātanam means eternal. The conception of Brahman, Absolute Truth, is eternal. Brahman, the definition of Brahman is "that which is the greatest." Just like we say God is great. Greatest. And increasing also. Brahman is not limited. Just like we have got some idea, say, the sky, the greatest. But this is also increasing. According to astronomical calculation, the planets and the universe, they can increase. So the Absolute Truth, that is eternally increasing. There is no comparison of Brahman's increasement and magnitude. Sanātana, and that is also eternal.

Sri Caitanya-caritamrta Lectures

"And He had that white color and red color and yellow color. Idānīm, just now, He has assumed this black color." So this was the astronomical calculation of Kṛṣṇa's birth.
Lecture on CC Madhya-lila 20.330-335 -- New York, December 23, 1966:

So when Kṛṣṇa was born the same principle was followed. Astrologer was called for, and there were good astrologers. And the great astrologer, a famous astrologer who came to see Kṛṣṇa's birth affair, he was Gargamuni. His name was Gargamuni. Yes. So that Gargamuni, by astrology, said to Kṛṣṇa's father Nanda Mahārāja, "This boy, this child who is born as your son, He had three colors before." Āsan varṇās trayo hy asya: "This child had three colors before. I see." Just see the astrology. From astrology he says that "He had three colors before." That means God. "He had three colors before." Gṛhṇato 'nuyugaṁ tanūḥ: "According to the age, according to the millennium, He had three other colors." Śuklo raktas tathā pīta idānīṁ kṛṣṇatāṁ gataḥ: "And He had that white color and red color and yellow color. Idānīm, just now, He has assumed this black color." So this was the astronomical calculation of Kṛṣṇa's birth. Satya-yuge dharma-dhyāna karāya 'śukla'-mūrti dhari'.

Sri Brahma-samhita Lectures

The boy and the girl must be equally rich, equally cultured, equally educated. Equality. They find out. Even by horoscope, they test whether their astronomical calculations are also equal, so that after marriage they may not be unhappy.
Lecture on Brahma-samhita, Lecture -- New York, July 28, 1971:

And strī-ratnaṁ duṣkulād api. In India still the marriage takes place in equal family. The boy and the girl must be equally rich, equally cultured, equally educated. Equality. They find out. Even by horoscope, they test whether their astronomical calculations are also equal, so that after marriage they may not be unhappy. So many things, they are taken care of by the parents, and the marriage takes place. It is not that in youthful age the boy and girl mixes and... No. There are so many. But these things are now gone. So the point is that they were calculating especially to accept a girl from a family, they must be equal. But Cāṇakya Paṇḍita says that if a girl is well qualified, strī-ratna... Strī-ratna means... Ratna means jewel. If a girl is just like jewel, very qualified, even she is born in low family, accept her. Nīcād apy uttamāṁ vidyāṁ strī-ratnaṁ duṣkulād api. Duṣkulād api means born of low family. Never mind. Don't care for her parentage. If she's qualified, accept her. There are many instances. Similarly, if you are serious about understanding God, don't consider that "I am Christian," "I am Hindu," "I am Muslim," "Why shall I go this? Why shall I hear from Swamijī?" If you are serious about understanding God, to love God, then here is the nicest process. That is practical.

Conversations and Morning Walks

1972 Conversations and Morning Walks

There are some calculations, astronomical calculations, from his birth, from her birth, and the expert astrologer will select, "Yes, this boy and this girl will be happy." Then they are married.
Room Conversation with John Griesser (later initiated as Yadubara Dasa) -- March 10, 1972, Vrndavana:

Prabhupāda: Formerly, family traditions, then horoscope. The so-called love was not given any importance, the so-called love. As in other countries the boys select wife or girls selects... No. There is no importance on this. The father, mother will see the horoscope, whether this boy and girl will agree according to the horoscope. Rāja-yoga(?) There are some calculations, astronomical calculations, from his birth, from her birth, and the expert astrologer will select, "Yes, this boy and this girl will be happy." Then they are married. If there is any discrepancy, they will deny, "No." These were the considerations.

1974 Conversations and Morning Walks

This is a bad sign. Constellation. According to astronomical calculations. Therefore we, we follow the astrology according to the constellation.
Morning Walk -- January 3, 1974, Los Angeles:

Prabhupāda: Uh, so, this is a bad sign. Constellation. According to astronomical calculations. Therefore we, we follow the astrology according to the constellation. The child born, everything has connection, the constellation of the star has influence on the child. So therefore the horoscope-maker takes the calculation of the constellation and then calculate what is his future. This dhūmaketu is described in Daśāvatāra-stotra, dhūmaketum iva kim api karālam. Dhūmaketum iva. Dhūmaketum iva kim api karālam. As soon as there is comet, there will be some disaster. Very great disaster. In our childhood we saw the comet, not this like. That was small comet. Still, the first world war was there declared. That we have seen in 1914.

1976 Conversations and Morning Walks

So their astronomical calculation, the sun is fixed up, that is also wrong.
Room Conversation -- July 6, 1976, Washington, D.C.:

Svarūpa Dāmodara: Actually as astronomy and (indistinct) are especially astronomy is one of the most unscientific branch of study, knowledge is concerned. It's very, very little known. The way that... The techniques that they use, are very difficult to rely on.

Prabhupāda: So their astronomical calculation, the sun is fixed up, that is also wrong. The sun is not fixed up.

According to Vedic astronomical calculations, sun is first.
Room Conversation -- July 10, 1976, New York:

Svarūpa Dāmodara: We're going to have a difficult time about this moon and the sun relationship.

Tamāla Kṛṣṇa: Sunday, Monday.

Svarūpa Dāmodara: This is a lifelong project. (laughter)

Prabhupāda: Nobody could answer, a simple question. (Hari-śauri explains "Sunday, Monday" question to Svarūpa Dāmodara in background(?)) According to Vedic astronomical calculations, sun is first.

Svarūpa Dāmodara: But does it have to do anything with distance, Prabhupāda?

Prabhupāda: Hmm?

Svarūpa Dāmodara: Does it have to do anything with the distance? As the sun is recorded first?

Prabhupāda: No, according to them if sun is first, then it will be ninety-three million miles. And if the moon is still away, one million six hundred thousand miles, it becomes ninety-five million miles. How they are going ninety-five millions of miles in four days?

Correspondence

1968 Correspondence

The astronomical calculation is that every 3 years, 1 month is added, so the year in which 1 month is added, that is always calculated as consisting of 13 months.
Letter to Satsvarupa -- San Francisco 2 April, 1968:

The astronomical calculation is that every 3 years, 1 month is added, so the year in which 1 month is added, that is always calculated as consisting of 13 months. Otherwise, generally it is 12 months in a year. At present I am keeping the copies as it is, and I shall see again and do the necessary corrections.

1969 Correspondence

Regarding you first question, we observe Ekadasi from sunrise to sunrise. The 12 midnight is western astronomical calculation, but the Vedic astronomical calculation begins either from the sunrise or the moonrise. Generally it is sunrise.
Letter to Madhudvisa -- England 30 September, 1969:

Regarding you first question, we observe Ekadasi from sunrise to sunrise. The 12 midnight is western astronomical calculation, but the Vedic astronomical calculation begins either from the sunrise or the moonrise. Generally it is sunrise. Our calculation is like this: when the sunrise is there, Ekadasi tithi (date) must be there. If Ekadasi tithi is not in the sunrise and the tithi begins, say after a few minutes after the sunrise, then we accept that day as previous to Ekadasi. All our ceremonies are calculated in that way. This means we must see the tithi during sunrise. Therefore, sometimes our dates of ceremonies do not exactly coincide like the western calculations. Just like Christmas Day they have fixed up on the 25th December, but our Janmastami tithi is not fixed up like that. My birthday is on the 1st September, 1896, but this year the tithi of my birthday was fixed for the 4th September. So it is very difficult to calculate, therefore we have to take help from the Indian expert almanac astronomers.

Page Title:Astronomical calculations
Compiler:Matea, Labangalatika
Created:12 of Nov, 2009
Totals by Section:BG=0, SB=11, CC=5, OB=3, Lec=7, Con=4, Let=2
No. of Quotes:32