{"id":"vidhyamitra:day:1640-10-29:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1640-10-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1640-10-29","date_display":"October 29, 1640 CE","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":1640,"month":10,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2320359.770833,"kali_year":4742,"ahargana":1731894.2708,"sun":{"sidereal_longitude":197.5498,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":10.4803,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":172.9305,"elapsed_within_tithi_degrees":4.9305},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":10.4803,"elapsed_within_degrees":10.4803},"yoga":{"number":16,"name":"Siddhi","sum_longitude":208.03},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":1640,"month":10,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2320359.770833,"ahargana":1731894.2708,"kali_year":4742,"ayanamsa_lahiri":18.8357,"grahas":{"sun":{"sidereal_longitude":197.35985099999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":10.087551000000019,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false,"latitude":1.9305},"mars":{"sidereal_longitude":319.222851,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":191.204651,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":260.155751,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":213.03915099999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":309.50525100000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":215.9071,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":35.9071,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"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":1640,"month":10,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2320359.770833,"kali_year":4742,"ahargana":1731894.2708,"sun":{"sidereal_longitude":197.5498,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":10.4803,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":172.9305,"elapsed_within_tithi_degrees":4.9305},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":10.4803,"elapsed_within_degrees":10.4803},"yoga":{"number":16,"name":"Siddhi","sum_longitude":208.03},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.93,"elongation":172.93},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.93,"opposition_distance":7.07}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":1697,"vikram_samvatsara":"Vijaya","saka_samvat":1562,"saka_samvatsara":"Vikrama","bengali_samvat":1047,"malayalam_era":816,"nanakshahi_year":171,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Śukla 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 Śukla Pūrṇimā · Vikram 1697 Vijaya · Śaka 1562 Vikrama"},"festivals":[{"id":"kartik-purnima","name":"Kārtika Pūrṇimā / Tripurī Pūrṇimā","name_sanskrit":"कार्तिक पूर्णिमा","tradition":"Pan-Hindu","significance":"Day Mahābhārata war began (4 Oct 3138 BCE). Śiva destroyed Tripurāsura.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Kārtika"},"precedence":2,"historical_anchor":{"event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","date_julian":"-3137-10-04","location":"Kurukṣetra"}}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","relevance":0.5}]},"validity":{"eternal":false,"valid_from":"1640-10-29T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga October 29, 1640 CE · Vidhyamitra","description":"Vedic pañchāṅga for October 29, 1640 CE: Śukla Pūrṇimā · Aśvinī.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1640-10-29","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1640-10-29","sa":"https://sa.vidhyamitra.com/day/1640-10-29","hi":"https://hi.vidhyamitra.com/day/1640-10-29","x-default":"https://vidhyamitra.com/day/1640-10-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-09T17:33:51.102Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-09T17:33:51.102Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}