{"id":"vidhyamitra:day:1815-10-13:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1815-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1815-10-13","date_display":"October 13, 1815 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":1815,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2384259.770833,"kali_year":4917,"ahargana":1795794.2708,"sun":{"sidereal_longitude":177.2684,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":296.8673,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":119.5989,"elapsed_within_tithi_degrees":11.5989},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":296.8673,"elapsed_within_degrees":3.534},"yoga":{"number":9,"name":"Śūla","sum_longitude":114.1357},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":1815,"month":10,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2384259.770833,"ahargana":1795794.2708,"kali_year":4917,"ayanamsa_lahiri":21.2796,"grahas":{"sun":{"sidereal_longitude":177.558401,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":298.6650010000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false,"latitude":-3.2728},"mars":{"sidereal_longitude":6.289500999999973,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":203.25310100000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":181.02710100000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":180.768101,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":286.269001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":70.1776,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":250.1776,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"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":1815,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2384259.770833,"kali_year":4917,"ahargana":1795794.2708,"sun":{"sidereal_longitude":177.2684,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":296.8673,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":119.5989,"elapsed_within_tithi_degrees":11.5989},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":296.8673,"elapsed_within_degrees":3.534},"yoga":{"number":9,"name":"Śūla","sum_longitude":114.1357},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.273,"elongation":119.599},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.273,"opposition_distance":60.401}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":1872,"vikram_samvatsara":"Sarvadhāri","saka_samvat":1737,"saka_samvatsara":"Yuva","bengali_samvat":1222,"malayalam_era":991,"nanakshahi_year":346,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Daśamī · Vikram 1872 Sarvadhāri · Śaka 1737 Yuva"},"festivals":[{"id":"vijaya-dashami","name":"Vijaya Daśamī (Dasarā / Daśaharā)","name_sanskrit":"विजय दशमी","tradition":"Pan-Hindu","associated_deity":"Rāma (Rāvaṇa-vadha) + Durgā (Mahiṣāsura-vadha)","significance":"Rāma's victory over Rāvaṇa; Durgā's victory; ārambha-divasa for śilpa-kalā.","vrata":true,"primary_observance":"Rāvaṇa-dahana; Aparājitā-pūjā; Śastra-pūjā","detection":{"tithi_number":10,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":1,"related_chart":"rama","sources":["Vālmīki Rāmāyaṇa, Yuddha-Kāṇḍa","Devī Mahātmya"]},{"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}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1815-10-13T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga October 13, 1815 CE · Vidhyamitra","description":"Vedic pañchāṅga for October 13, 1815 CE: Śukla Daśamī · Dhaniṣṭhā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1815-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1815-10-13","sa":"https://sa.vidhyamitra.com/day/1815-10-13","hi":"https://hi.vidhyamitra.com/day/1815-10-13","x-default":"https://vidhyamitra.com/day/1815-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T20:26:36.569Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-21T20:26:36.569Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}