Okay, so I need to translate this poem into Sanskrit. Let me start by understanding the content and the key elements. The poem is addressed to Krishna, referencing Vrindavan, his dance with the gopis, the Bhagavad Gita scene with Arjuna on the battlefield, and a personal plea to be able to bow at his feet.

First, I'll break down each stanza to identify the main components and any specific terms that need accurate translation. For example, "sacred woods of Vrindavan" should be translated in a way that conveys both sacredness and the forest setting. "Vrindavan" itself is a proper noun, so it might remain as is or have a Sanskrit equivalent.

Next, "sweet dance with the gopis" – "gopis" is already a Sanskrit term, so that's straightforward. "Sweet dance" needs to be translated with the right adjectives and nouns. "Flow on" suggests continuity, so perhaps using a verb in the imperative or optative mood.

The second stanza mentions the "field of Dharma’s plain" which refers to Kurukshetra, the battlefield in the Mahabharata. "Guiding Arjuna through the fray" relates to Krishna's role as charioteer and advisor. Here, terms like "Dharma's plain" could be "Dharma-kshetra" as in the Gita's opening verse. "Chariot" is "ratha," and "beacon for the righteous" needs appropriate Sanskrit terms for beacon (maybe "dīpa" or "pradīpa") and righteous ("dharmic" or "satyanishtha").

The last stanza is a personal plea, asking when Krishna will pause his cosmic play to let the speaker bow at his feet. "Cosmic play" might translate to "līlā," a common term for divine play. "Lotus feet" is a standard epithet, "padma-pāda" or "charana-kamala."

I also need to consider the poetic meter and structure. Sanskrit poetry often uses meters like Anushtubh (shloka), which has four lines of eight syllables each. However, the original poem has varying line lengths, so I might need to adjust to fit a classical meter or use a free form if necessary.

Let me check some specific terms. "Sacred woods" could be "puṇya-vana" or "pavitra-vana." "Symphony of love" might be "prema-sangīta" or "sneha-sangīta." "Timeless and divine" could be "anādi-divya" (beginningless and divine) or "sanātana-divya" (eternal and divine).

For "Continue guiding Arjuna through the fray," the verb "continue" is important. Maybe using "pravartaya" (continue, proceed) in imperative. "Through the fray" could be "saṃgrāma-madhye" (in the midst of battle).

The line "Let your chariot forever roam" – "ratha" is chariot, "forever" could be "nityam" or "sadaiva," "roam" might be "caratu" (let it move).

"Beacon for the righteous" – "dharmiṣṭhānāṃ pradīpaḥ" (lamp for the righteous). "Shield for the just" – "nyāyavādinaḥ kavacaḥ" (armor for the just).

The plea section: "When will you pause" – "kadā tvam avasthāsyasi" (when will you stop). "Let this humble soul" – "mama etat vinītaṃ ātmānam" (my this humble self). "Bow at your lotus feet" – "tava padma-pāde śirasā namet" (bow head at your lotus feet).

Putting it all together, ensuring grammatical correctness and poetic flow. Also, considering word order since Sanskrit is flexible but certain structures are more poetic. Maybe using vocative case for addressing Krishna, like "he kṛṣṇa."

I should also verify the compounds and sandhi rules to make sure the combinations are correct. For example, "vrindāvanasya puṇyavanam" (the sacred forest of Vrindavan). "Gopībhiḥ saha madhura-nṛtyam" (sweet dance with the gopis).

I might need to adjust some phrases for conciseness, as Sanskrit tends to be more compact. For instance, "A symphony of love, timeless and divine" could be "prema-sangītam anādi-divyam" (love-symphony, timeless-divine).

Another consideration is the use of appropriate verbs in the correct mood and tense. The original has imperatives ("Let your sweet dance flow on", "Continue guiding") which in Sanskrit would use the imperative or optative forms.

After drafting each line, I should review for meter if possible, and ensure that the translation captures both the literal meaning and the poetic essence of the original. It's a balance between fidelity to the source and the aesthetic of the target language.