{"id":"vidhyamitra:day:-3121-09-15:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/-3121-09-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3121-09-15","date_display":"September 15, 3122 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":-3121,"month":9,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":581369.770833,"kali_year":-19,"ahargana":-7095.7292,"sun":{"sidereal_longitude":204.5515,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":100.3478,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":255.7962,"elapsed_within_tithi_degrees":3.7962},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":100.3478,"elapsed_within_degrees":7.0145},"yoga":{"number":23,"name":"Śubha","sum_longitude":304.8993},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"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":-3121,"month":9,"day":15,"hour":6,"minute":30,"calendar":"julian"},"julian_day":581369.770833,"ahargana":-7095.7292,"kali_year":-19,"ayanamsa_lahiri":-47.6742,"grahas":{"sun":{"sidereal_longitude":204.5515,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":100.3478,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false,"latitude":-4.4783},"mars":{"sidereal_longitude":220.864,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":188.4165,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":142.473,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":182.6915,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":137.0234,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":195.9659,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":15.9659,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":-3121,"month":9,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":581369.770833,"kali_year":-19,"ahargana":-7095.7292,"sun":{"sidereal_longitude":204.5515,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":100.3478,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":255.7962,"elapsed_within_tithi_degrees":3.7962},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":100.3478,"elapsed_within_degrees":7.0145},"yoga":{"number":23,"name":"Śubha","sum_longitude":304.8993},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.478,"elongation":104.204},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.478,"opposition_distance":75.796}},"eclipse_window_40days":[{"offset_days":8,"type":"solar","occurs":true,"moon_latitude":1.173,"elongation":1.998}]},"calendars":{"vikram_samvat":-3064,"saka_samvat":-3199,"bengali_samvat":-3714,"malayalam_era":-3945,"nanakshahi_year":-4590,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Saptamī · Vikram -3064 undefined · Śaka -3199 undefined"},"festivals":[],"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 September 15, 3122 BCE · Vidhyamitra","description":"Vedic pañchāṅga for September 15, 3122 BCE: Kṛṣṇa Saptamī · Puṣya.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/-3121-09-15","hreflang_alternates":{"en":"https://vidhyamitra.com/day/-3121-09-15","sa":"https://sa.vidhyamitra.com/day/-3121-09-15","hi":"https://hi.vidhyamitra.com/day/-3121-09-15","x-default":"https://vidhyamitra.com/day/-3121-09-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-04T08:38:33.169Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-04T08:38:33.169Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}