{"id":"vidhyamitra:day:1705-12-30:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1705-12-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1705-12-30","date_display":"December 30, 1705 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":1705,"month":12,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2344161.770833,"kali_year":4807,"ahargana":1755696.2708,"sun":{"sidereal_longitude":258.9874,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":78.6769,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":179.6895,"elapsed_within_tithi_degrees":11.6895},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":78.6769,"elapsed_within_degrees":12.0103},"yoga":{"number":26,"name":"Indra","sum_longitude":337.6643},"karana":{"half_tithi_index":29,"name":"Bava"},"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":1705,"month":12,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2344161.770833,"ahargana":1755696.2708,"kali_year":4807,"ayanamsa_lahiri":19.746,"grahas":{"sun":{"sidereal_longitude":258.512439,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":76.29383899999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":3.1195},"mars":{"sidereal_longitude":231.68873899999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":277.614139,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":100.56863899999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":true},"venus":{"sidereal_longitude":236.908139,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":26.57093900000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":34.7626,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":214.7626,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":1705,"month":12,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2344161.770833,"kali_year":4807,"ahargana":1755696.2708,"sun":{"sidereal_longitude":258.9874,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":78.6769,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":179.6895,"elapsed_within_tithi_degrees":11.6895},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":78.6769,"elapsed_within_degrees":12.0103},"yoga":{"number":26,"name":"Indra","sum_longitude":337.6643},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.119,"elongation":179.69},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.119,"opposition_distance":0.31}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":1762,"vikram_samvatsara":"Vilambī","saka_samvat":1627,"saka_samvatsara":"Pārthiva","bengali_samvat":1112,"malayalam_era":881,"nanakshahi_year":236,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","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":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Pūrṇimā · Vikram 1762 Vilambī · Śaka 1627 Pārthiva"},"festivals":[{"id":"paush-purnima","name":"Pauṣa Pūrṇimā (Śākambharī Devī Jayantī)","name_sanskrit":"पौष पूर्णिमा","tradition":"Pan-Hindu","associated_deity":"Devī Śākambharī","significance":"Manifestation of Devī Śākambharī (vegetation-mother).","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Pauṣa"},"precedence":3}],"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","relevance":0.5}]},"validity":{"eternal":false,"valid_from":"1705-12-30T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga December 30, 1705 CE · Vidhyamitra","description":"Vedic pañchāṅga for December 30, 1705 CE: Śukla Pūrṇimā · Ārdrā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1705-12-30","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1705-12-30","sa":"https://sa.vidhyamitra.com/day/1705-12-30","hi":"https://hi.vidhyamitra.com/day/1705-12-30","x-default":"https://vidhyamitra.com/day/1705-12-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T01:13:20.115Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-02T01:13:20.115Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}