{"id":"vidhyamitra:day:2304-10-13:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2304-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2304-10-13","date_display":"October 13, 2304 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":2304,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2562863.770833,"kali_year":5406,"ahargana":1974398.2708,"sun":{"sidereal_longitude":169.8098,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":331.7766,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":161.9668,"elapsed_within_tithi_degrees":5.9668},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":331.7766,"elapsed_within_degrees":11.7766},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":141.5864},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2304,"month":10,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2562863.770833,"ahargana":1974398.2708,"kali_year":5406,"ayanamsa_lahiri":28.1105,"grahas":{"sun":{"sidereal_longitude":171.29431499999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"moon":{"sidereal_longitude":332.514015,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false,"latitude":0.3839},"mars":{"sidereal_longitude":351.265115,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":160.384815,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":240.30671499999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"venus":{"sidereal_longitude":213.64471500000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":156.01791500000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":326.8781,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":146.8781,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","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":2304,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2562863.770833,"kali_year":5406,"ahargana":1974398.2708,"sun":{"sidereal_longitude":169.8098,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":331.7766,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":161.9668,"elapsed_within_tithi_degrees":5.9668},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":331.7766,"elapsed_within_degrees":11.7766},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":141.5864},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.384,"elongation":161.967},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.384,"opposition_distance":18.033}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2361,"vikram_samvatsara":"Hemalambī","saka_samvat":2226,"saka_samvatsara":"Tāraṇa","bengali_samvat":1711,"malayalam_era":1480,"nanakshahi_year":835,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Caturdaśī · Vikram 2361 Hemalambī · Śaka 2226 Tāraṇa"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"2304-10-13T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga October 13, 2304 CE · Vidhyamitra","description":"Vedic pañchāṅga for October 13, 2304 CE: Śukla Caturdaśī · Pūrva Bhādrapadā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2304-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2304-10-13","sa":"https://sa.vidhyamitra.com/day/2304-10-13","hi":"https://hi.vidhyamitra.com/day/2304-10-13","x-default":"https://vidhyamitra.com/day/2304-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T10:48:23.514Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-02T10:48:23.514Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}