{"id":"vidhyamitra:day:2031-10-14:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2031-10-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2031-10-14","date_display":"October 14, 2031 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":2031,"month":10,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463153.770833,"kali_year":5133,"ahargana":1874688.2708,"sun":{"sidereal_longitude":175.3916,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":146.8491,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":331.4574,"elapsed_within_tithi_degrees":7.4574},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1,"moon_longitude":146.8491,"elapsed_within_degrees":0.1824},"yoga":{"number":25,"name":"Brahma","sum_longitude":322.2407},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2031,"month":10,"day":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2463153.770833,"ahargana":1874688.2708,"kali_year":5133,"ayanamsa_lahiri":24.297,"grahas":{"sun":{"sidereal_longitude":176.20537000000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":148.54807,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false,"latitude":-4.0138},"mars":{"sidereal_longitude":247.70137,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":189.35447,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":239.74266999999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":129.57506999999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":58.48176999999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":209.9938,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":29.9938,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2031,"month":10,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463153.770833,"kali_year":5133,"ahargana":1874688.2708,"sun":{"sidereal_longitude":175.3916,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":146.8491,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":331.4574,"elapsed_within_tithi_degrees":7.4574},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1,"moon_longitude":146.8491,"elapsed_within_degrees":0.1824},"yoga":{"number":25,"name":"Brahma","sum_longitude":322.2407},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.014,"elongation":28.543},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.014,"opposition_distance":151.457}},"eclipse_window_40days":[{"offset_days":16,"type":"lunar","occurs":true,"moon_latitude":1.494,"opposition_distance":1.604}]},"calendars":{"vikram_samvat":2088,"vikram_samvatsara":"Raktākṣī","saka_samvat":1953,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1438,"malayalam_era":1207,"nanakshahi_year":562,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Trayodaśī · Vikram 2088 Raktākṣī · Śaka 1953 Virodhakṛt"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4},{"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":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"2031-10-14T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga October 14, 2031 CE · Vidhyamitra","description":"Vedic pañchāṅga for October 14, 2031 CE: Kṛṣṇa Trayodaśī · Uttara Phalgunī.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2031-10-14","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2031-10-14","sa":"https://sa.vidhyamitra.com/day/2031-10-14","hi":"https://hi.vidhyamitra.com/day/2031-10-14","x-default":"https://vidhyamitra.com/day/2031-10-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T08:33:40.451Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T08:33:40.451Z","pillar_versions":{"BOB-History":"Pūrṇa"}}}