{"id":"vidhyamitra:day:1709-01-02:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1709-01-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1709-01-02","date_display":"January 2, 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":1,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2345260.770833,"kali_year":4810,"ahargana":1756795.2708,"sun":{"sidereal_longitude":262.3015,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":156.3248,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":254.0233,"elapsed_within_tithi_degrees":2.0233},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":156.3248,"elapsed_within_degrees":9.6582},"yoga":{"number":5,"name":"Śobhana","sum_longitude":58.6263},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":1,"day":2,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2345260.770833,"ahargana":1756795.2708,"kali_year":4810,"ayanamsa_lahiri":19.788,"grahas":{"sun":{"sidereal_longitude":261.805249,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":159.17314899999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false,"latitude":0.0163},"mars":{"sidereal_longitude":89.77144899999996,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":243.66114900000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":192.71674899999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":224.90054899999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":71.04944899999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":336.5323,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":156.5323,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"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":1,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2345260.770833,"kali_year":4810,"ahargana":1756795.2708,"sun":{"sidereal_longitude":262.3015,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":156.3248,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":254.0233,"elapsed_within_tithi_degrees":2.0233},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":156.3248,"elapsed_within_degrees":9.6582},"yoga":{"number":5,"name":"Śobhana","sum_longitude":58.6263},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.016,"elongation":105.977},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.016,"opposition_distance":74.023}},"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":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Saptamī · Vikram 1766 Śubhakṛt · Śaka 1631 Virodhi"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1709-01-02T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga January 2, 1709 CE · Vidhyamitra","description":"Vedic pañchāṅga for January 2, 1709 CE: Kṛṣṇa Saptamī · Uttara Phalgunī.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1709-01-02","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1709-01-02","sa":"https://sa.vidhyamitra.com/day/1709-01-02","hi":"https://hi.vidhyamitra.com/day/1709-01-02","x-default":"https://vidhyamitra.com/day/1709-01-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T13:41:27.571Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-01T13:41:27.571Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}