ā-kalpam — for the duration of the time of creation; evam — thus; veṣam — appearance; gataḥ — has accepted; eṣaḥ — this; bhagavān — the Supreme Personality of Godhead; ātma-yoga-māyayā — by His own spiritual potency; viracita — perfected; vividha-loka-yātrā — the livelihood of the various planetary systems; gopīyāya — just to maintain; iti — thus; arthaḥ — the purpose.
The various forms of the Supreme Personality of Godhead, such as Nārāyaṇa and Viṣṇu, are beautifully decorated with different weapons. The Lord exhibits those forms to maintain all the varied planets created by His personal potency, yoga-māyā.
In Bhagavad-gītā (4.6) Lord Kṛṣṇa says, sambhavāmy ātma-māyayā: “I appear by My internal potency.” The word ātma-māyā refers to the Lord’s personal potency, yoga-māyā. After creating both the material world and spiritual world through yoga-māyā, the Supreme Personality of Godhead personally maintains them by expanding Himself in different categories as the Viṣṇu mūrtis and the demigods. He maintains the material creation from beginning to end, and He personally maintains the spiritual world.