In this millennium, the sun-god is known as Vivasvān, the king of the sun, which is the origin of all planets within the solar system. In the Brahma-saṁhitā (5.52) it is stated:
yac-cakṣur eṣa savitā sakala-grahāṇāṁ
rājā samasta-sura-mūrtir aśeṣa-tejāḥ
yasyājñayā bhramati sambhṛta-kāla-cakro
govindam ādi-puruṣaṁ tam ahaṁ bhajāmi
"Let me worship," Lord Brahmā said, "the Supreme Personality of Godhead, Govinda (Kṛṣṇa), who is the original person and under whose order the sun, which is the king of all planets, is assuming immense power and heat. The sun represents the eye of the Lord and traverses its orbit in obedience to His order."
The sun is the king of the planets, and the sun-god (at present of the name Vivasvān) rules the sun planet, which is controlling all other planets by supplying heat and light. He is rotating under the order of Kṛṣṇa, and Lord Kṛṣṇa originally made Vivasvān His first disciple to understand the science of Bhagavad-gītā. The Gītā is not, therefore, a speculative treatise for the insignificant mundane scholar but is a standard book of knowledge coming down from time immemorial.
(Bhagavad-Gita----4:1-----purport).

From this verse we can understand that the sun is illuminating the whole solar system. There are different universes and solar systems, and there are different suns, moons and planets also, but in each universe there is only one sun. As stated in Bhagavad-gītā (10.21), the moon is one of the stars (nakṣatrāṇām ahaṁ śaśī). Sunlight is due to the spiritual effulgence in the spiritual sky of the Supreme Lord. With the rise of the sun, the activities of human beings are set up. They set fire to prepare their foodstuff, they set fire to start the factories, etc. So many things are done with the help of fire. Therefore sunrise, fire and moonlight are so pleasing to the living entities. Without their help no living entity can live. So if one can understand that the light and splendor of the sun, moon and fire are emanating from the Supreme Personality of Godhead, Kṛṣṇa, then one's Kṛṣṇa consciousness will begin. By the moonshine, all the vegetables are nourished. The moonshine is so pleasing that people can easily understand that they are living by the mercy of the Supreme Personality of Godhead, Kṛṣṇa. Without His mercy there cannot be sun, without His mercy there cannot be moon, and without His mercy there cannot be fire, and without the help of sun, moon and fire, no one can live. These are some thoughts to provoke Kṛṣṇa consciousness in the conditioned soul.
(Bhagavad-Gita----15:12-----purport).

In the Bhagavad-gītā the Personality of Godhead Śrī Kṛṣṇa has expressively given a description of His transcendental appearance, disappearance and activities. The Lord appears in a particular family or place by His inconceivable potency. He does not take His birth as a conditioned soul quits his body and accepts another body. His birth is like the appearance and disappearance of the sun. The sun arises on the eastern horizon, but that does not mean that the eastern horizon is the parent of the sun. The sun is existent in every part of the solar system, but he becomes visible at a scheduled time and so also becomes invisible at another scheduled time. Similarly, the Lord appears in this universe like the sun and again leaves our sight at another time. He exists at all times and at every place, but by His causeless mercy when He appears before us we take it for granted that He has taken His birth. Anyone who can understand this truth, in terms of the statements of revealed scriptures, certainly becomes liberated just after quitting the present body. Liberation is obtainable after many births and after great endeavor in patience and perseverance, in knowledge and renunciation. But simply by knowing in truth about the Lord's transcendental births and activities, one can get liberation at once. That is the verdict of the Bhagavad-gītā. But those who are in the darkness of ignorance conclude that the Lord's birth and activities in the material world are similar to those of the ordinary living being. Such imperfect conclusions cannot give anyone liberation. His birth, therefore, in the family of King Yadu as the son of King Vasudeva and His transfer into the family of Nanda Mahārāja in the land of Mathurā are all transcendental arrangements made by the internal potency of the Lord.
(Srimad Bhagavatam------1:10:26-----purport).

Mahārāja Yudhiṣṭhira also turned his attention to the instructions of the Bhagavad-gītā after hearing about the Lord's departure from the vision of earthly people. He began to deliberate on the Lord's way of appearance and departure. The mission of the Lord's appearance and disappearance in the mortal universe is completely dependent on His supreme will. He is not forced to appear or disappear by any superior energy, as the living beings appear and disappear, being forced by the laws of nature. Whenever the Lord likes, He can appear Himself from anywhere and everywhere without disturbing His appearance and disappearance in any other place. He is like the sun. The sun appears and disappears on its own accord at any place without disturbing its presence in other places. The sun appears in the morning in India without disappearing from the Western Hemisphere. The sun is present everywhere and anywhere all over the solar system, but it so appears that in a particular place the sun appears in the morning and also disappears at some fixed time in the evening. The time limitation even of the sun is of no concern, and so what to speak of the Supreme Lord who is the creator and controller of the sun. Therefore, in the Bhagavad-gītā it is stated that anyone who factually understands the transcendental appearance and disappearance of the Lord by His inconceivable energy becomes liberated from the laws of birth and death and is placed in the eternal spiritual sky where the Vaikuṇṭha planets are. There such liberated persons can eternally live without the pangs of birth, death, old age and disease. In the spiritual sky the Lord and those who are eternally engaged in the transcendental loving service of the Lord are all eternally young because there is no old age and disease and there is no death. Because there is no death there is no birth. It is concluded, therefore, that simply by understanding the Lord's appearance and disappearance in truth, one can attain the perfectional stage of eternal life.
(Srimad Bhagavatam------1:15:32-----purport).

Although the polestar existed before its occupation by Dhruva Mahārāja, it had no predominating deity. Dhruvaloka, our polestar, is the center for all other stars and solar systems, for all of them circle around Dhruvaloka just as a bull crushes grains by walking around and around a central pole. Dhruva wanted the best of all planets, and although it was a childish prayer, the Lord satisfied his demand. A small child may demand something from his father which his father has never given to anyone else, yet out of affection the father offers it to the child; similarly, this unique planet, Dhruvaloka, was offered to Mahārāja Dhruva. The specific significance of this planet is that until the entire universe is annihilated this planet will remain, even during the devastation which takes place during the night of Lord Brahmā. There are two kinds of dissolutions, one during the night of Lord Brahmā and one at the end of Lord Brahmā's life. At the end of Brahmā's life, selected personalities go back home, back to Godhead. Dhruva Mahārāja is one of them. The Lord assured Dhruva that he would exist beyond the partial dissolution of this universe.
(Srimad Bhagavatam------4:9:20-21-----purport).

There is a Bengali saying which describes that someone is so powerful that he can make the night day and the day night. That saying is current because of the prowess of Priyavrata. His activities demonstrate how powerful he became by worshiping the Supreme Personality of Godhead. Lord Kṛṣṇa is known as Yogeśvara, the master of all mystic powers. In Bhagavad-gītā (18.78) it is said wherever there is the master of all mystic powers (yatra yogeśvaraḥ kṛṣṇaḥ), victory, fortune and all other opulences are present. Devotional service is so powerful. When a devotee achieves what he wants to accomplish, it is not by his own mystic power but by the grace of the master of mystic power. Lord Kṛṣṇa: by His grace, a devotee can accomplish wonderful things unimaginable even to the most powerful scientist.
From the description in this verse, it appears that the sun moves. According to modern astronomers, the sun is fixed in one place, surrounded by the solar system, but here we find that the sun is not stationary: it is rotating in a prescribed orbit. This fact is corroborated by Brahma-saṁhitā (5.52). Yasyājñayā bhramati saṁbhṛta-kāla-cakraḥ: the sun is rotating in its fixed orbit in accordance with the order of the Supreme Personality of Godhead. According to Jyotir Veda, the science of astronomy in the Vedic literature, the sun moves for six months on the northern side of the Sumeru Hill and for six months on the southern side. We have practical experience on this planet that when there is summer in the north there is winter in the south and vice versa. Modern materialistic scientists sometimes present themselves as knowing all the ingredients of the sun, yet they are unable to offer a second sun like Mahārāja Priyavrata's.
Although Mahārāja Priyavrata devised a very powerful chariot as brilliant as the sun, he had no desire to compete with the sun-god, for a Vaiṣṇava never wants to supersede another Vaiṣṇava. His purpose was to give abundant benefits in material existence. Śrīla Viśvanātha Cakravartī Ṭhākura remarks that in the months of April and May the rays of Mahārāja Priyavrata's brilliant sun were as pleasing as the rays of the moon, and in October and November, both morning and evening, that sun provided more warmth than the sunshine. In short, Mahārāja Priyavrata was extremely powerful, and his actions extended his power in all directions.
(Srimad Bhagavatam------5:1:30-----purport).

It is indeed true that Indians are especially able to benefit others world-wide. But if the Indians do not meet this responsibility and instead get enticed and bedazzled by the illusory energy as it is manifest in the West in such variegated forms, then they will become known as misers and end their lives in disgrace. The sun is not visible at night because of the rotation of the earth, yet the sun is very much present in the sky, and the entire solar system is working under its influence. Similarly, the light of India's knowledge, contained in the sublime philosophy of the Vedas, the Upaniṣads, the Vedānta-sūtra, the Purāṇas, the Gītā, and their corollaries, is certainly available, but by divine will it is temporarily beyond our view due to the influence of ignorance and passion. Of course, by the Lord's will and by the mercy of His pure devotee, this knowledge will again spread everywhere. Lord Caitanya has made this prediction;
pṛthivīte āche yata nagarādi-grāma
sarvatra pracāra haibe more nāma
My holy name will be propagated in every town and village of this globe.
This prediction will very easily come true, for a pure devotee of the Lord can inundate the world with the tidal waves of love of Godhead, the religion preached by Lord Caitanya. Everything is possible if the Lord desires. And thus if the Lord desires, everyone can develop a loving mood of surrender to Him.
(Renunciation through Wisdom).

Śrīla Bhaktisiddhānta Sarasvatī Ṭhākura elucidates this complicated explanation of Kṛṣṇa's pastimes. Kṛṣṇa's pastimes are always present in the material world in one of the many universes. These pastimes appear in the universes one after the other, just as the sun moves across the sky and measures the time. Kṛṣṇa's appearance may be manifested in this universe at one moment, and immediately after His birth, this pastime is manifested in the next universe. After His killing of Pūtanā is manifested in this universe, it is next manifested in another universe. Thus all the pastimes of Kṛṣṇa are eternally existing both in the original Goloka Vṛndāvana planet and in the material universes. The 125 years calculated in our solar system to be Kṛṣṇa's lifetime equal one moment for Kṛṣṇa. One moment these pastimes are manifested in one universe, and the next moment they are manifested in the next universe. There are unlimited universes, and Kṛṣṇa's pastimes are manifested one moment after the other in all of them. This rotation is explained through the example of the sun's moving across the sky. Kṛṣṇa appears and disappears in innumerable universes, just as the sun appears and disappears during the day. Although the sun appears to rise and set, it is continuously shining somewhere on the earth. Similarly, although Kṛṣṇa's pastimes seem to appear and disappear, they are continuously existing in one brahmāṇḍa (universe) or another. Thus all of Kṛṣṇa's līlās are present simultaneously throughout the innumerable universes. By our limited senses we cannot appreciate this; therefore Kṛṣṇa's eternal pastimes are very difficult for us to understand. One should try to understand how they are taking place by understanding the example of the sun.
(Sri Caitanya Caritamrta------2:20:397-----purport).