{"id":"vidhyamitra:day:1959-12-20:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1959-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1959-12-20","date_display":"December 20, 1959 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":1959,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2436922.770833,"kali_year":5061,"ahargana":1848457.2708,"sun":{"sidereal_longitude":243.854,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":120.7968,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":236.9428,"elapsed_within_tithi_degrees":8.9428},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":120.7968,"elapsed_within_degrees":0.7968},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":4.6508},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":1959,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2436922.770833,"ahargana":1848457.2708,"kali_year":5061,"ayanamsa_lahiri":23.2938,"grahas":{"sun":{"sidereal_longitude":244.10188700000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":117.733387,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false,"latitude":-2.8327},"mars":{"sidereal_longitude":228.91918699999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":225.015087,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":233.524087,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":201.48548700000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":255.27468699999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":159.8384,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":339.8384,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":1959,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2436922.770833,"kali_year":5061,"ahargana":1848457.2708,"sun":{"sidereal_longitude":243.854,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":120.7968,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":236.9428,"elapsed_within_tithi_degrees":8.9428},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":120.7968,"elapsed_within_degrees":0.7968},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":4.6508},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.833,"elongation":123.057},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.833,"opposition_distance":56.943}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2016,"vikram_samvatsara":"Paridhāvi","saka_samvat":1881,"saka_samvatsara":"Vikāri","bengali_samvat":1366,"malayalam_era":1135,"nanakshahi_year":490,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Pañcamī · Vikram 2016 Paridhāvi · Śaka 1881 Vikāri"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1959-12-20T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga December 20, 1959 CE · Vidhyamitra","description":"Vedic pañchāṅga for December 20, 1959 CE: Kṛṣṇa Pañcamī · Maghā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1959-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1959-12-20","sa":"https://sa.vidhyamitra.com/day/1959-12-20","hi":"https://hi.vidhyamitra.com/day/1959-12-20","x-default":"https://vidhyamitra.com/day/1959-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T09:21:34.277Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T09:21:34.277Z","pillar_versions":{"BOB-History":"Pūrṇa"}}}