{"id":"vidhyamitra:day:-3173-05-21:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/-3173-05-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3173-05-21","date_display":"May 21, 3174 BCE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3173,"month":5,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":562259.770833,"kali_year":-71,"ahargana":-26205.7292,"sun":{"sidereal_longitude":90.9908,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":309.9464,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":218.9557,"elapsed_within_tithi_degrees":2.9557},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":309.9464,"elapsed_within_degrees":3.2798},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":40.9372},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":-3173,"month":5,"day":21,"hour":6,"minute":30,"calendar":"julian"},"julian_day":562259.770833,"ahargana":-26205.7292,"kali_year":-71,"ayanamsa_lahiri":-48.4051,"grahas":{"sun":{"sidereal_longitude":90.9908,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"moon":{"sidereal_longitude":309.9464,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false,"latitude":-0.113},"mars":{"sidereal_longitude":350.8304,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":80.4931,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":354.707,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":109.0626,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":203.8228,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":128.5056,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":308.5056,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3173,"month":5,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":562259.770833,"kali_year":-71,"ahargana":-26205.7292,"sun":{"sidereal_longitude":90.9908,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":309.9464,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":218.9557,"elapsed_within_tithi_degrees":2.9557},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":309.9464,"elapsed_within_degrees":3.2798},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":40.9372},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.113,"elongation":141.044},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.113,"opposition_distance":38.956}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":-3116,"saka_samvat":-3251,"saka_samvatsara":"Prabhava","bengali_samvat":-3766,"malayalam_era":-3997,"nanakshahi_year":-4642,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Caturthī · Vikram -3116 undefined · Śaka -3251 Prabhava"},"festivals":[{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga May 21, 3174 BCE · Vidhyamitra","description":"Vedic pañchāṅga for May 21, 3174 BCE: Kṛṣṇa Caturthī · Śatabhiṣā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/-3173-05-21","hreflang_alternates":{"en":"https://vidhyamitra.com/day/-3173-05-21","sa":"https://sa.vidhyamitra.com/day/-3173-05-21","hi":"https://hi.vidhyamitra.com/day/-3173-05-21","x-default":"https://vidhyamitra.com/day/-3173-05-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T20:15:13.450Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-02T20:15:13.450Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}