{"id":"vidhyamitra:city-day:vrindavan:2015-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2015-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2015-01-13","date_display":"January 13, 2015 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":2015,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457035.770833,"kali_year":5116,"ahargana":1868570.2708,"sun":{"sidereal_longitude":268.2829,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":177.3301,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":269.0472,"elapsed_within_tithi_degrees":5.0472},"nakshatra":{"number":14,"name":"Citrā","pada":2,"moon_longitude":177.3301,"elapsed_within_degrees":3.9968},"yoga":{"number":7,"name":"Sukarma","sum_longitude":85.6131},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2015,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457035.770833,"ahargana":1868570.2708,"kali_year":5116,"ayanamsa_lahiri":24.063,"grahas":{"sun":{"sidereal_longitude":268.450323,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":174.36942299999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false,"latitude":0.249},"mars":{"sidereal_longitude":306.165023,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":287.0307230000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":115.83602300000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":287.53722300000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":217.705823,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":174.1549,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":354.1549,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":2015,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457035.770833,"kali_year":5116,"ahargana":1868570.2708,"sun":{"sidereal_longitude":268.2829,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":177.3301,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":269.0472,"elapsed_within_tithi_degrees":5.0472},"nakshatra":{"number":14,"name":"Citrā","pada":2,"moon_longitude":177.3301,"elapsed_within_degrees":3.9968},"yoga":{"number":7,"name":"Sukarma","sum_longitude":85.6131},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.249,"elongation":90.953},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.249,"opposition_distance":89.047}},"eclipse_window_40days":[]},"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":"07:11","sunsetLocal":"17:45","solarNoonLocal":"12:28","dayLengthHours":10.550607423445928,"dayLengthDisplay":"10 Hours 33 Mins 02 Secs","nightLengthDisplay":"13 Hours 26 Mins 58 Secs","moonriseLocal":"00:24","moonsetLocal":"11:59","rahuKala":{"name":"Rāhu Kāla","start":"15:06","end":"16:25","startHours":15.104297380717709,"endHours":16.42312330864845,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:50","end":"11:09","startHours":9.828993668994745,"endHours":11.147819596925485,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:28","end":"13:47","startHours":12.466645524856226,"endHours":13.785471452786968,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.653150211937312,"endHours":10.004837126052177,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.630950455776842,"endHours":7.912299987068733,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:49","startHours":12.114958610741363,"endHours":12.818332438971092,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.784594156673805,"endHours":6.487967984903534,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:11","startHours":6.312124527846102,"endHours":7.1913418131332625,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"14:56","startHours":14.225080095430549,"endHours":14.928453923660278,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:33","end":"17:57","startHours":17.541949236579192,"endHours":17.94194923657919,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:45","end":"18:11","startHours":17.74194923657919,"endHours":18.181557879222773,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:30","end":"19:15","startHours":17.49194923657919,"endHours":19.24194923657919,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:49","startHours":24.11495861074136,"endHours":24.81833243897109,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:11","end":"08:31","startHours":7.1913418131332625,"endHours":8.510167741064004,"quality":"inauspicious"},{"name":"Udveg","start":"08:31","end":"09:50","startHours":8.510167741064004,"endHours":9.828993668994745,"quality":"inauspicious"},{"name":"Chala","start":"09:50","end":"11:09","startHours":9.828993668994745,"endHours":11.147819596925485,"quality":"neutral"},{"name":"Labha","start":"11:09","end":"12:28","startHours":11.147819596925485,"endHours":12.466645524856226,"quality":"auspicious"},{"name":"Amṛta","start":"12:28","end":"13:47","startHours":12.466645524856226,"endHours":13.785471452786968,"quality":"auspicious"},{"name":"Kāla","start":"13:47","end":"15:06","startHours":13.785471452786968,"endHours":15.104297380717709,"quality":"inauspicious"},{"name":"Śubha","start":"15:06","end":"16:25","startHours":15.104297380717709,"endHours":16.42312330864845,"quality":"auspicious"},{"name":"Roga","start":"16:25","end":"17:45","startHours":16.42312330864845,"endHours":17.74194923657919,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:45","end":"19:25","startHours":17.74194923657919,"endHours":19.42312330864845,"quality":"inauspicious"},{"name":"Śubha","start":"19:25","end":"21:06","startHours":19.42312330864845,"endHours":21.10429738071771,"quality":"auspicious"},{"name":"Roga","start":"21:06","end":"22:47","startHours":21.10429738071771,"endHours":22.785471452786968,"quality":"inauspicious"},{"name":"Udveg","start":"22:47","end":"00:28","startHours":22.785471452786968,"endHours":24.466645524856226,"quality":"inauspicious"},{"name":"Chala","start":"00:28","end":"02:09","startHours":24.466645524856226,"endHours":26.147819596925487,"quality":"neutral"},{"name":"Labha","start":"02:09","end":"03:50","startHours":26.147819596925487,"endHours":27.828993668994745,"quality":"auspicious"},{"name":"Amṛta","start":"03:50","end":"05:31","startHours":27.828993668994745,"endHours":29.510167741064002,"quality":"auspicious"},{"name":"Kāla","start":"05:31","end":"07:11","startHours":29.510167741064002,"endHours":31.191341813133263,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.1913418131332625,"endHours":8.191341813133263,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.191341813133263,"endHours":9.191341813133263,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.191341813133263,"endHours":10.191341813133263,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.191341813133263,"endHours":11.191341813133263,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.191341813133263,"endHours":12.191341813133263,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.191341813133263,"endHours":13.191341813133263,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.191341813133263,"endHours":14.191341813133263,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.191341813133263,"endHours":15.191341813133263,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.191341813133263,"endHours":16.191341813133263,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.191341813133263,"endHours":17.191341813133263,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.191341813133263,"endHours":18.191341813133263,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.191341813133263,"endHours":19.191341813133263,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.191341813133263,"endHours":20.191341813133263,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.191341813133263,"endHours":21.191341813133263,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.191341813133263,"endHours":22.191341813133263,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.191341813133263,"endHours":23.191341813133263,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.191341813133263,"endHours":24.191341813133263,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.191341813133263,"endHours":25.191341813133263,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.191341813133263,"endHours":26.191341813133263,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.191341813133263,"endHours":27.191341813133263,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.191341813133263,"endHours":28.191341813133263,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.191341813133263,"endHours":29.191341813133263,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.191341813133263,"endHours":30.191341813133263,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.191341813133263,"endHours":31.191341813133263,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"North","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"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":-21.556680781673123,"eotMinutes":-8.635931491373626,"ayanamsa":24.063}},"calendars":{"vikram_samvat":2072,"vikram_samvatsara":"Kīlaka","saka_samvat":1937,"saka_samvatsara":"Manmatha","bengali_samvat":1422,"malayalam_era":1191,"nanakshahi_year":546,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Aṣṭamī · Vikram 2072 Kīlaka · Śaka 1937 Manmatha"},"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":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","relevance":0.5}]},"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, 2015 CE · Vṛndāvana · Vidhyamitra","description":"January 13, 2015 CE for Vṛndāvana: Kṛṣṇa Aṣṭamī, sūryodaya 07:11, sūryāsta 17:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2015-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2015-01-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2015-01-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2015-01-13","x-default":"https://vidhyamitra.com/city/vrindavan/2015-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T23:08:26.251Z","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":"2026-05-15T23:08:26.251Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T23:08:26.251Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}