{"id":"vidhyamitra:city-day:vrindavan:2020-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2020-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2020-01-13","date_display":"January 13, 2020 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":2020,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458861.770833,"kali_year":5121,"ahargana":1870396.2708,"sun":{"sidereal_longitude":267.9811,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":115.6764,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":207.6953,"elapsed_within_tithi_degrees":3.6953},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3,"moon_longitude":115.6764,"elapsed_within_degrees":9.0097},"yoga":{"number":2,"name":"Prīti","sum_longitude":23.6575},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"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":2020,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2458861.770833,"ahargana":1870396.2708,"kali_year":5121,"ayanamsa_lahiri":24.1328,"grahas":{"sun":{"sidereal_longitude":268.16275599999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":117.96195599999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false,"latitude":2.7855},"mars":{"sidereal_longitude":222.11165600000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":269.431656,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":255.32075600000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":304.68775600000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":268.635256,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":77.4046,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":257.4046,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":2020,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458861.770833,"kali_year":5121,"ahargana":1870396.2708,"sun":{"sidereal_longitude":267.9811,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":115.6764,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":207.6953,"elapsed_within_tithi_degrees":3.6953},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3,"moon_longitude":115.6764,"elapsed_within_degrees":9.0097},"yoga":{"number":2,"name":"Prīti","sum_longitude":23.6575},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.785,"elongation":152.305},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.785,"opposition_distance":27.695}},"eclipse_window_40days":[{"offset_days":-18,"type":"solar","occurs":true,"moon_latitude":0.726,"elongation":0.409},{"offset_days":-2,"type":"lunar","occurs":true,"moon_latitude":0.783,"opposition_distance":1.611}]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:12","sunsetLocal":"17:44","solarNoonLocal":"12:28","dayLengthHours":10.547731650954777,"dayLengthDisplay":"10 Hours 32 Mins 52 Secs","nightLengthDisplay":"13 Hours 27 Mins 08 Secs","moonriseLocal":"19:54","moonsetLocal":"09:00","rahuKala":{"name":"Rāhu Kāla","start":"08:31","end":"09:50","startHours":8.511246155748186,"endHours":9.829712612117532,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:09","end":"12:28","startHours":11.14817906848688,"endHours":12.466645524856226,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:47","end":"15:06","startHours":13.785111981225572,"endHours":15.103578437594921,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.65391708460162,"endHours":10.005508139633445,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.632268518168621,"endHours":7.913541362194081,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:49","startHours":12.115054469824402,"endHours":12.818236579888053,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.786415479251534,"endHours":6.489597589315187,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:12","startHours":6.313802061799273,"endHours":7.192779699378838,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:56","startHours":14.224600800015356,"endHours":14.927782910079008,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:32","end":"17:56","startHours":17.540511350333617,"endHours":17.940511350333615,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:44","end":"18:11","startHours":17.740511350333616,"endHours":18.1800001691234,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:29","end":"19:14","startHours":17.490511350333616,"endHours":19.240511350333616,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:49","startHours":24.1150544698244,"endHours":24.81823657988805,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:12","end":"08:31","startHours":7.192779699378838,"endHours":8.511246155748186,"quality":"auspicious"},{"name":"Kāla","start":"08:31","end":"09:50","startHours":8.511246155748186,"endHours":9.829712612117532,"quality":"inauspicious"},{"name":"Śubha","start":"09:50","end":"11:09","startHours":9.829712612117532,"endHours":11.14817906848688,"quality":"auspicious"},{"name":"Roga","start":"11:09","end":"12:28","startHours":11.14817906848688,"endHours":12.466645524856226,"quality":"inauspicious"},{"name":"Udveg","start":"12:28","end":"13:47","startHours":12.466645524856226,"endHours":13.785111981225572,"quality":"inauspicious"},{"name":"Chala","start":"13:47","end":"15:06","startHours":13.785111981225572,"endHours":15.103578437594921,"quality":"neutral"},{"name":"Labha","start":"15:06","end":"16:25","startHours":15.103578437594921,"endHours":16.42204489396427,"quality":"auspicious"},{"name":"Amṛta","start":"16:25","end":"17:44","startHours":16.42204489396427,"endHours":17.740511350333616,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:44","end":"19:25","startHours":17.740511350333616,"endHours":19.42204489396427,"quality":"neutral"},{"name":"Labha","start":"19:25","end":"21:06","startHours":19.42204489396427,"endHours":21.103578437594923,"quality":"auspicious"},{"name":"Amṛta","start":"21:06","end":"22:47","startHours":21.103578437594923,"endHours":22.785111981225576,"quality":"auspicious"},{"name":"Kāla","start":"22:47","end":"00:28","startHours":22.785111981225576,"endHours":24.466645524856226,"quality":"inauspicious"},{"name":"Śubha","start":"00:28","end":"02:09","startHours":24.466645524856226,"endHours":26.148179068486883,"quality":"auspicious"},{"name":"Roga","start":"02:09","end":"03:50","startHours":26.148179068486883,"endHours":27.829712612117532,"quality":"inauspicious"},{"name":"Udveg","start":"03:50","end":"05:31","startHours":27.829712612117532,"endHours":29.511246155748186,"quality":"inauspicious"},{"name":"Chala","start":"05:31","end":"07:12","startHours":29.511246155748186,"endHours":31.19277969937884,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:12","end":"08:12","startHours":7.192779699378838,"endHours":8.192779699378839,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:12","end":"09:12","startHours":8.192779699378839,"endHours":9.192779699378839,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:12","end":"10:12","startHours":9.192779699378839,"endHours":10.192779699378839,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:12","end":"11:12","startHours":10.192779699378839,"endHours":11.192779699378839,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:12","end":"12:12","startHours":11.192779699378839,"endHours":12.192779699378839,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:12","end":"13:12","startHours":12.192779699378839,"endHours":13.192779699378839,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:12","end":"14:12","startHours":13.192779699378839,"endHours":14.192779699378839,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:12","end":"15:12","startHours":14.192779699378839,"endHours":15.192779699378839,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:12","end":"16:12","startHours":15.192779699378839,"endHours":16.19277969937884,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:12","end":"17:12","startHours":16.19277969937884,"endHours":17.19277969937884,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:12","end":"18:12","startHours":17.19277969937884,"endHours":18.19277969937884,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:12","end":"19:12","startHours":18.19277969937884,"endHours":19.19277969937884,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:12","end":"20:12","startHours":19.19277969937884,"endHours":20.19277969937884,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:12","end":"21:12","startHours":20.19277969937884,"endHours":21.19277969937884,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:12","end":"22:12","startHours":21.19277969937884,"endHours":22.19277969937884,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:12","end":"23:12","startHours":22.19277969937884,"endHours":23.19277969937884,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:12","end":"00:12","startHours":23.19277969937884,"endHours":24.19277969937884,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:12","end":"01:12","startHours":24.19277969937884,"endHours":25.19277969937884,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:12","end":"02:12","startHours":25.19277969937884,"endHours":26.19277969937884,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:12","end":"03:12","startHours":26.19277969937884,"endHours":27.19277969937884,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:12","end":"04:12","startHours":27.19277969937884,"endHours":28.19277969937884,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:12","end":"05:12","startHours":28.19277969937884,"endHours":29.19277969937884,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:12","end":"06:12","startHours":29.19277969937884,"endHours":30.19277969937884,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:12","end":"07:12","startHours":30.19277969937884,"endHours":31.19277969937884,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-21.592179643489665,"eotMinutes":-8.635931491373626,"ayanamsa":24.1328}},"calendars":{"vikram_samvat":2077,"vikram_samvatsara":"Pramādī","saka_samvat":1942,"saka_samvatsara":"Śārvarī","bengali_samvat":1427,"malayalam_era":1196,"nanakshahi_year":551,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Tṛtīyā · Vikram 2077 Pramādī · Śaka 1942 Śārvarī"},"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":"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,"location_specific":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 13, 2020 CE · Vṛndāvana · Vidhyamitra","description":"January 13, 2020 CE for Vṛndāvana: Kṛṣṇa Tṛtīyā, sūryodaya 07:12, sūryāsta 17:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2020-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2020-01-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2020-01-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2020-01-13","x-default":"https://vidhyamitra.com/city/vrindavan/2020-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T03:01:57.495Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-15T03:01:57.496Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T03:01:57.496Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}