पद्मस्य नाभौ मध्ये कर्णिकायां स्थित इति पद्मनाभः ।अरविन्दसदृशे अक्षिणी अस्येति अरविन्दाक्षः ।पद्मस्य हृदयाख्यस्य मध्ये उपास्यत्वात् पद्मगर्भः ।पोषयन्नन्नरूपेण प्राणरूपेण वा शरीरिणां शरीराणि धारयतीति शरीरभृत्; स्वमायया शरीराणि बिभर्तीति वा ।महती ऋद्धिर्विभूतिरस्येति महर्द्धिः ।प्रपञ्चरूपेण वर्धमानत्वात् ऋद्धः ।वृद्धः पुरातन आत्मा यस्येति वृद्धात्मा ।महती अक्षिणी महान्त्यक्षीणि वा अस्येति महाक्षः ।गरुडाङ्कः ध्वजो यस्येति गरुडध्वजः ॥
In plain words
He is called Padmanābha because He abides within the center of the heart's lotus. He is Aravindākṣa because His eyes are like blossoming lotuses. He is Padmagarbha because He is fit to be contemplated within the inner space of the heart. He is Śarīrabhṛt because He nourishes all embodied beings through food and breath, upholding their forms by His own mysterious power. He is Maharddhi because His majesty is vast. He is Ṛddha because He expands as this entire universe. He is Vṛddhātmā because His eternal essence is primordial. He is Mahākṣa because His vision is all-encompassing. And He is Garuḍadhvaja because His banner bears the emblem of Garuda.
Close to the Sanskrit
Padmanābha is so called because he is situated in the pericarp of the lotus in the navel. Aravindākṣa is so called because his two eyes resemble a lotus. Padmagarbha is so called because of being worthy of meditation within the middle of the heart called lotus. Śarīrabhṛt is one who sustains the bodies of embodied beings in the form of food or breath, or because he supports bodies by his own māyā. Maharddhi is one whose opulence or majesty is great. Ṛddha is one who is expanded in the form of the universe. Vṛddhātmā is one whose ancient self is great. Mahākṣa is one who has great eyes or many great eyes. Garuḍadhvaja is one whose banner has Garuda as its mark.