योगवासिष्ठः yogavāsiṣṭhaḥ - book-3, chapter-31, verse-35

तेषामर्थे रणे व्योम्नि तिष्ठन्त्युत्कण्ठिताशयाः ।
शूरीभूतमहासत्त्वदयितोक्तिसुराङ्गनाः ॥ ३५ ॥

teṣāmarthe raṇe vyomni tiṣṭhantyutkaṇṭhitāśayāḥ ,
śūrībhūtamahāsattvadayitoktisurāṅganāḥ 35

35. teṣām arthe raṇe vyomni tiṣṭhanti utkaṇṭhitāśayāḥ
śūrībhūtamahāsatvodayitoktisurāṅganāḥ

35. teṣām arthe śūrībhūtamahāsatvodayitoktisurāṅganāḥ
utkaṇṭhitāśayāḥ (satyaḥ) raṇe vyomni tiṣṭhanti

35. For their sake, with eager hearts, celestial damsels — whose utterances are cherished by great, heroic beings — stand in the sky, (even) on the battlefield.

Words meanings summery:

• तेषाम् (teṣām) - of them, for them

• अर्थे (arthe) - for the sake of, for the purpose of

• रणे (raṇe) - in battle, on the battlefield

• व्योम्नि (vyomni) - in the sky, in space

• तिष्ठन्ति (tiṣṭhanti) - they stand, they remain

• उत्कण्ठिताशयाः (utkaṇṭhitāśayāḥ) - with eager hearts/minds, having eager intentions

• शूरीभूतमहासत्वोदयितोक्तिसुराङ्गनाः (śūrībhūtamahāsatvodayitoktisurāṅganāḥ) - celestial damsels whose utterances are cherished by great-souled beings who have become heroic

Words meanings and morphology

तेषाम् (teṣām) - of them, for them

(pronoun)

Genitive, masculine, plural of tad

tad - that, he, she, it

Note: Refers to the 'śūrāḥ' (warriors) from the previous verse.

अर्थे (arthe) - for the sake of, for the purpose of

(noun)

Locative, masculine, singular of artha

artha - purpose, sake, meaning, wealth

Note: Used idiomatically with the genitive to mean 'for the sake of'.

रणे (raṇe) - in battle, on the battlefield

(noun)

Locative, masculine, singular of raṇa

raṇa - battle, war, combat

Root: raṇ (class 1)

Note: Specifies location.

व्योम्नि (vyomni) - in the sky, in space

(noun)

Locative, neuter, singular of vyoman

vyoman - sky, atmosphere, space

Note: Specifies location.

तिष्ठन्ति (tiṣṭhanti) - they stand, they remain

(verb)

3rd person , plural, active, present (laṭ) of sthā

3rd person plural present active of the root sthā.

Root: sthā (class 1)

Note: The subject is 'śūrībhūtamahāsatvodayitoktisurāṅganāḥ'.

उत्कण्ठिताशयाः (utkaṇṭhitāśayāḥ) - with eager hearts/minds, having eager intentions

(adjective)

Nominative, feminine, plural of utkaṇṭhitāśaya

utkaṇṭhitāśaya - having an eager heart/mind, eager-minded

Compound type : bahuvrīhi (utkaṇṭhita+āśaya)

• utkaṇṭhita – eager, yearning, longing
  adjective
  Past Passive Participle
  Derived from the root kaṇṭh (to desire) with the prefix ut.
  Prefix: ut
  Root: kaṇṭh (class 1)
• āśaya – heart, mind, intention, receptacle
  noun (masculine)
  Root: śī (class 2)

Note: Modifies 'surāṅganāḥ'.

शूरीभूतमहासत्वोदयितोक्तिसुराङ्गनाः (śūrībhūtamahāsatvodayitoktisurāṅganāḥ) - celestial damsels whose utterances are cherished by great-souled beings who have become heroic

(noun)

Nominative, feminine, plural of śūrībhūtamahāsatvodayitoktisurāṅganā

śūrībhūtamahāsatvodayitoktisurāṅganā - celestial damsels whose utterances are cherished by great-souled beings who have become heroic

Compound type : bahuvrīhi (śūrībhūta+mahāsatva+dayita+ukti+surāṅganā)

• śūrībhūta – become heroic, having become brave
  adjective (masculine)
• mahāsatva – great-souled, very courageous being
  noun (masculine)
• dayita – beloved, cherished, dear
  adjective (feminine)
  Past Passive Participle
  Derived from the root day (to love).
  Root: day (class 1)
• ukti – utterance, saying, speech
  noun (feminine)
  Derived from the root vac (to speak).
  Root: vac (class 2)
• surāṅganā – celestial damsel, apsaras
  noun (feminine)

Note: The primary subject of the sentence.