{"id":"vidhyamitra:day:1842-10-31:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1842-10-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1842-10-31","date_display":"October 31, 1842 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":1842,"month":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2394139.770833,"kali_year":4944,"ahargana":1805674.2708,"sun":{"sidereal_longitude":195.2673,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":161.408,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":326.1407,"elapsed_within_tithi_degrees":2.1407},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":161.408,"elapsed_within_degrees":1.408},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":356.6753},"karana":{"half_tithi_index":54,"name":"Gara"},"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":1842,"month":10,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2394139.770833,"ahargana":1805674.2708,"kali_year":4944,"ayanamsa_lahiri":21.6575,"grahas":{"sun":{"sidereal_longitude":195.56901199999993,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":159.20251199999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false,"latitude":-4.3406},"mars":{"sidereal_longitude":155.45351200000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":199.66061200000001,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":267.39681199999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":242.32761200000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":260.03131200000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":266.6876,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":86.6876,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","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":1842,"month":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2394139.770833,"kali_year":4944,"ahargana":1805674.2708,"sun":{"sidereal_longitude":195.2673,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":161.408,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":326.1407,"elapsed_within_tithi_degrees":2.1407},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":161.408,"elapsed_within_degrees":1.408},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":356.6753},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.341,"elongation":33.859},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.341,"opposition_distance":146.141}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":1899,"vikram_samvatsara":"Rākṣasa","saka_samvat":1764,"saka_samvatsara":"Śubhakṛt","bengali_samvat":1249,"malayalam_era":1018,"nanakshahi_year":373,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Trayodaśī · Vikram 1899 Rākṣasa · Śaka 1764 Śubhakṛt"},"festivals":[{"id":"dhanteras","name":"Dhanteras (Dhanvantari Jayantī)","name_sanskrit":"धनतेरस / धन्वन्तरि जयन्ती","tradition":"Pan-Hindu","associated_deity":"Dhanvantari (Āyurveda-deva, avatāra of Viṣṇu)","significance":"Birth of Dhanvantari from samudra-mathana with amṛta-kalaśa. Day 1 of Diwali.","vrata":true,"detection":{"tithi_number":28,"tithi_paksha":"Kṛṣṇa","lunar_month":"Kārtika"},"precedence":2,"sources":["Bhāgavata 8.8.32-34"]},{"id":"tula-sankranti","name":"Tulā Saṅkrānti","name_sanskrit":"तुला सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Libra.","vrata":false,"detection":{"sun_rashi":"Tulā"},"precedence":5},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":[]},"validity":{"eternal":false,"valid_from":"1842-10-31T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga October 31, 1842 CE · Vidhyamitra","description":"Vedic pañchāṅga for October 31, 1842 CE: Kṛṣṇa Trayodaśī · Hasta.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1842-10-31","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1842-10-31","sa":"https://sa.vidhyamitra.com/day/1842-10-31","hi":"https://hi.vidhyamitra.com/day/1842-10-31","x-default":"https://vidhyamitra.com/day/1842-10-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-20T01:37:22.935Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-20T01:37:22.935Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}