{"id":"vidhyamitra:day:1864-06-13:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1864-06-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1864-06-13","date_display":"June 13, 1864 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":1864,"month":6,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2402035.770833,"kali_year":4966,"ahargana":1813570.2708,"sun":{"sidereal_longitude":60.3522,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":158.1074,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":97.7552,"elapsed_within_tithi_degrees":1.7552},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":158.1074,"elapsed_within_degrees":11.4408},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":218.4596},"karana":{"half_tithi_index":16,"name":"Bālava"},"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":1864,"month":6,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2402035.770833,"ahargana":1813570.2708,"kali_year":4966,"ayanamsa_lahiri":21.9595,"grahas":{"sun":{"sidereal_longitude":60.25572699999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":156.38402700000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false,"latitude":-3.4564},"mars":{"sidereal_longitude":351.732627,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":40.18152700000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":209.42402700000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":52.45262700000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":170.38302699999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":208.3195,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":28.3195,"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":1864,"month":6,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2402035.770833,"kali_year":4966,"ahargana":1813570.2708,"sun":{"sidereal_longitude":60.3522,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":158.1074,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":97.7552,"elapsed_within_tithi_degrees":1.7552},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":158.1074,"elapsed_within_degrees":11.4408},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":218.4596},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.456,"elongation":97.755},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.456,"opposition_distance":82.245}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":1921,"vikram_samvatsara":"Īśvara","saka_samvat":1786,"saka_samvatsara":"Raktākṣī","bengali_samvat":1271,"malayalam_era":1040,"nanakshahi_year":395,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Navamī · Vikram 1921 Īśvara · Śaka 1786 Raktākṣī"},"festivals":[{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi":"Mithuna"},"precedence":5}],"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":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","url":"/day/-1626101-04-03","relevance":0.5}]},"validity":{"eternal":false,"valid_from":"1864-06-13T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga June 13, 1864 CE · Vidhyamitra","description":"Vedic pañchāṅga for June 13, 1864 CE: Śukla Navamī · Uttara Phalgunī.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1864-06-13","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1864-06-13","sa":"https://sa.vidhyamitra.com/day/1864-06-13","hi":"https://hi.vidhyamitra.com/day/1864-06-13","x-default":"https://vidhyamitra.com/day/1864-06-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T20:13:29.165Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-17T20:13:29.165Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}