{"id":"vidhyamitra:day:-3171-07-31:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/-3171-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3171-07-31","date_display":"July 31, 3172 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":-3171,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563061.770833,"kali_year":-69,"ahargana":-25403.7292,"sun":{"sidereal_longitude":159.6665,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":74.8912,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":275.2248,"elapsed_within_tithi_degrees":11.2248},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":74.8912,"elapsed_within_degrees":8.2246},"yoga":{"number":18,"name":"Varīyān","sum_longitude":234.5577},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":-3171,"month":7,"day":31,"hour":6,"minute":30,"calendar":"julian"},"julian_day":563061.770833,"ahargana":-25403.7292,"kali_year":-69,"ayanamsa_lahiri":-48.3744,"grahas":{"sun":{"sidereal_longitude":159.6665,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":74.8912,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":-0.8671},"mars":{"sidereal_longitude":58.7663,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":146.5156,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":65.3635,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":161.676,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":true},"saturn":{"sidereal_longitude":226.8609,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":86.0118,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":266.0118,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"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":-3171,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563061.770833,"kali_year":-69,"ahargana":-25403.7292,"sun":{"sidereal_longitude":159.6665,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":74.8912,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":275.2248,"elapsed_within_tithi_degrees":11.2248},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":74.8912,"elapsed_within_degrees":8.2246},"yoga":{"number":18,"name":"Varīyān","sum_longitude":234.5577},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.867,"elongation":84.775},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.867,"opposition_distance":95.225}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":-3114,"saka_samvat":-3249,"bengali_samvat":-3764,"malayalam_era":-3995,"nanakshahi_year":-4640,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Aṣṭamī · Vikram -3114 undefined · Śaka -3249 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","relevance":0.5}]},"validity":{"eternal":true},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga July 31, 3172 BCE · Vidhyamitra","description":"Vedic pañchāṅga for July 31, 3172 BCE: Kṛṣṇa Aṣṭamī · Ārdrā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/-3171-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/day/-3171-07-31","sa":"https://sa.vidhyamitra.com/day/-3171-07-31","hi":"https://hi.vidhyamitra.com/day/-3171-07-31","x-default":"https://vidhyamitra.com/day/-3171-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T22:18:08.802Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-03T22:18:08.802Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}