{"id":"vidhyamitra:day:2476-10-31:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2476-10-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2476-10-31","date_display":"October 31, 2476 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":2476,"month":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2625704.770833,"kali_year":5578,"ahargana":2037239.2708,"sun":{"sidereal_longitude":186.1951,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":337.8554,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":151.6603,"elapsed_within_tithi_degrees":7.6603},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":337.8554,"elapsed_within_degrees":4.522},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":164.0505},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2476,"month":10,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2625704.770833,"ahargana":2037239.2708,"kali_year":5578,"ayanamsa_lahiri":30.514,"grahas":{"sun":{"sidereal_longitude":188.06392699999992,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":338.687327,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false,"latitude":4.4231},"mars":{"sidereal_longitude":159.47142699999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":176.376527,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":90.96252700000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"venus":{"sidereal_longitude":180.21512699999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":95.72002699999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":237.2595,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":57.2595,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"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":2476,"month":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2625704.770833,"kali_year":5578,"ahargana":2037239.2708,"sun":{"sidereal_longitude":186.1951,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":337.8554,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":151.6603,"elapsed_within_tithi_degrees":7.6603},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":337.8554,"elapsed_within_degrees":4.522},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":164.0505},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.423,"elongation":151.66},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.423,"opposition_distance":28.34}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2533,"vikram_samvatsara":"Virodhi","saka_samvat":2398,"saka_samvatsara":"Dhātṛ","bengali_samvat":1883,"malayalam_era":1652,"nanakshahi_year":1007,"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 Trayodaśī · Vikram 2533 Virodhi · Śaka 2398 Dhātṛ"},"festivals":[{"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":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Dedicated festival walk for Pradoṣa Vrata is not live yet; Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"2476-10-31T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga October 31, 2476 CE · Vidhyamitra","description":"Vedic pañchāṅga for October 31, 2476 CE: Śukla Trayodaśī · Uttara Bhādrapadā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2476-10-31","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2476-10-31","sa":"https://sa.vidhyamitra.com/day/2476-10-31","hi":"https://hi.vidhyamitra.com/day/2476-10-31","x-default":"https://vidhyamitra.com/day/2476-10-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-20T18:55:08.262Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-20T18:55:08.262Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no founder-city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","Divyāṁśa-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}