{"id":"vidhyamitra:day:1709-04-15:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1709-04-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1709-04-15","date_display":"April 15, 1709 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":1709,"month":4,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2345363.770833,"kali_year":4811,"ahargana":1756898.2708,"sun":{"sidereal_longitude":5.8426,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":66.8392,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":60.9966,"elapsed_within_tithi_degrees":0.9966},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":66.8392,"elapsed_within_degrees":0.1725},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":72.6817},"karana":{"half_tithi_index":10,"name":"Kaulava"},"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":1709,"month":4,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2345363.770833,"ahargana":1756898.2708,"kali_year":4811,"ayanamsa_lahiri":19.792,"grahas":{"sun":{"sidereal_longitude":5.054414000000008,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":65.26221399999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false,"latitude":4.4772},"mars":{"sidereal_longitude":96.35151400000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":345.141314,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":190.86501399999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":350.893614,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":70.62651399999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":331.0748,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":151.0748,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","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":1709,"month":4,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2345363.770833,"kali_year":4811,"ahargana":1756898.2708,"sun":{"sidereal_longitude":5.8426,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":66.8392,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":60.9966,"elapsed_within_tithi_degrees":0.9966},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":66.8392,"elapsed_within_degrees":0.1725},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":72.6817},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.477,"elongation":60.997},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.477,"opposition_distance":119.003}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":1766,"vikram_samvatsara":"Śubhakṛt","saka_samvat":1631,"saka_samvatsara":"Virodhi","bengali_samvat":1116,"malayalam_era":885,"nanakshahi_year":240,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha (Adhika) Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":true,"lunar_month_purnimanta_is_adhika":true,"lunar_month_amanta_is_adhika":true,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha (Adhika) Śukla Ṣaṣṭhī · Vikram 1766 Śubhakṛt · Śaka 1631 Virodhi"},"festivals":[],"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":[]},"validity":{"eternal":false,"valid_from":"1709-04-15T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga April 15, 1709 CE · Vidhyamitra","description":"Vedic pañchāṅga for April 15, 1709 CE: Śukla Ṣaṣṭhī · Ārdrā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1709-04-15","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1709-04-15","sa":"https://sa.vidhyamitra.com/day/1709-04-15","hi":"https://hi.vidhyamitra.com/day/1709-04-15","x-default":"https://vidhyamitra.com/day/1709-04-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T22:32:06.499Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-01T22:32:06.499Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}