{"id":"vidhyamitra:city-day:mathura:2037-01-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2037-01-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2037-01-01","date_display":"January 1, 2037 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":2037,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2465059.770833,"kali_year":5138,"ahargana":1876594.2708,"sun":{"sidereal_longitude":256.2645,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":60.9528,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":164.6883,"elapsed_within_tithi_degrees":8.6883},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":60.9528,"elapsed_within_degrees":7.6194},"yoga":{"number":24,"name":"Śukla","sum_longitude":317.2173},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2037,"month":1,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2465059.770833,"ahargana":1876594.2708,"kali_year":5138,"ayanamsa_lahiri":24.3699,"grahas":{"sun":{"sidereal_longitude":256.586447,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":62.129346999999996,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false,"latitude":-3.3453},"mars":{"sidereal_longitude":222.93854699999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":240.429347,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":53.402647,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":236.92974700000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":127.682747,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":109.0047,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":289.0047,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","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":2037,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2465059.770833,"kali_year":5138,"ahargana":1876594.2708,"sun":{"sidereal_longitude":256.2645,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":60.9528,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":164.6883,"elapsed_within_tithi_degrees":8.6883},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":60.9528,"elapsed_within_degrees":7.6194},"yoga":{"number":24,"name":"Śukla","sum_longitude":317.2173},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.345,"elongation":164.688},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.345,"opposition_distance":15.312}},"eclipse_window_40days":[{"offset_days":15,"type":"solar","occurs":true,"moon_latitude":1.49,"elongation":2.819}]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:10","sunsetLocal":"17:36","solarNoonLocal":"12:23","dayLengthHours":10.438900882103772,"dayLengthDisplay":"10 Hours 26 Mins 20 Secs","nightLengthDisplay":"13 Hours 33 Mins 40 Secs","moonriseLocal":"16:30","moonsetLocal":"06:20","rahuKala":{"name":"Rāhu Kāla","start":"13:41","end":"15:00","startHours":13.688368915652905,"endHours":14.993231525915876,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:10","end":"08:28","startHours":7.164055864338048,"endHours":8.468918474601018,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:46","end":"11:05","startHours":9.773781084863991,"endHours":11.078643695126962,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:36","end":"09:57","startHours":9.599799403495595,"endHours":9.947762766232387,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:53","startHours":7.599010067759038,"endHours":7.8773807579484725,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:44","startHours":12.035542942653143,"endHours":12.731469668126726,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:28","startHours":5.772202413390878,"endHours":6.468129138864462,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:10","startHours":6.2941474574960665,"endHours":7.164055864338048,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:49","startHours":14.123323119073895,"endHours":14.81924984454748,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:24","end":"17:48","startHours":17.40295674644182,"endHours":17.80295674644182,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:36","end":"18:02","startHours":17.60295674644182,"endHours":18.03791094986281,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:21","end":"19:06","startHours":17.35295674644182,"endHours":19.10295674644182,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:44","startHours":24.035542942653144,"endHours":24.731469668126728,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:10","end":"08:28","startHours":7.164055864338048,"endHours":8.468918474601018,"quality":"auspicious"},{"name":"Roga","start":"08:28","end":"09:46","startHours":8.468918474601018,"endHours":9.773781084863991,"quality":"inauspicious"},{"name":"Udveg","start":"09:46","end":"11:05","startHours":9.773781084863991,"endHours":11.078643695126962,"quality":"inauspicious"},{"name":"Chala","start":"11:05","end":"12:23","startHours":11.078643695126962,"endHours":12.383506305389933,"quality":"neutral"},{"name":"Labha","start":"12:23","end":"13:41","startHours":12.383506305389933,"endHours":13.688368915652905,"quality":"auspicious"},{"name":"Amṛta","start":"13:41","end":"15:00","startHours":13.688368915652905,"endHours":14.993231525915876,"quality":"auspicious"},{"name":"Kāla","start":"15:00","end":"16:18","startHours":14.993231525915876,"endHours":16.298094136178847,"quality":"inauspicious"},{"name":"Śubha","start":"16:18","end":"17:36","startHours":16.298094136178847,"endHours":17.60295674644182,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:36","end":"19:18","startHours":17.60295674644182,"endHours":19.298094136178847,"quality":"auspicious"},{"name":"Kāla","start":"19:18","end":"21:00","startHours":19.298094136178847,"endHours":20.993231525915878,"quality":"inauspicious"},{"name":"Śubha","start":"21:00","end":"22:41","startHours":20.993231525915878,"endHours":22.688368915652905,"quality":"auspicious"},{"name":"Roga","start":"22:41","end":"00:23","startHours":22.688368915652905,"endHours":24.383506305389933,"quality":"inauspicious"},{"name":"Udveg","start":"00:23","end":"02:05","startHours":24.383506305389933,"endHours":26.078643695126964,"quality":"inauspicious"},{"name":"Chala","start":"02:05","end":"03:46","startHours":26.078643695126964,"endHours":27.77378108486399,"quality":"neutral"},{"name":"Labha","start":"03:46","end":"05:28","startHours":27.77378108486399,"endHours":29.46891847460102,"quality":"auspicious"},{"name":"Amṛta","start":"05:28","end":"07:10","startHours":29.46891847460102,"endHours":31.164055864338046,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.164055864338048,"endHours":8.164055864338048,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.164055864338048,"endHours":9.164055864338048,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.164055864338048,"endHours":10.164055864338048,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.164055864338048,"endHours":11.164055864338048,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.164055864338048,"endHours":12.164055864338048,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.164055864338048,"endHours":13.164055864338048,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.164055864338048,"endHours":14.164055864338048,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.164055864338048,"endHours":15.164055864338048,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.164055864338048,"endHours":16.164055864338046,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.164055864338046,"endHours":17.164055864338046,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.164055864338046,"endHours":18.164055864338046,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.164055864338046,"endHours":19.164055864338046,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.164055864338046,"endHours":20.164055864338046,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.164055864338046,"endHours":21.164055864338046,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.164055864338046,"endHours":22.164055864338046,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.164055864338046,"endHours":23.164055864338046,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.164055864338046,"endHours":24.164055864338046,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.164055864338046,"endHours":25.164055864338046,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.164055864338046,"endHours":26.164055864338046,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.164055864338046,"endHours":27.164055864338046,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.164055864338046,"endHours":28.164055864338046,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.164055864338046,"endHours":29.164055864338046,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.164055864338046,"endHours":30.164055864338046,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.164055864338046,"endHours":31.164055864338046,"planetary_lord":"Moon"}],"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":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Amṛta","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":-22.98453790626219,"eotMinutes":-3.705178323396069,"ayanamsa":24.3699}},"calendars":{"vikram_samvat":2094,"vikram_samvatsara":"Pramoda","saka_samvat":1959,"saka_samvatsara":"Piṅgala","bengali_samvat":1444,"malayalam_era":1213,"nanakshahi_year":568,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Caturdaśī · Vikram 2094 Pramoda · Śaka 1959 Piṅgala"},"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":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 1, 2037 CE · Mathurā · Vidhyamitra","description":"January 1, 2037 CE for Mathurā: Śukla Caturdaśī, sūryodaya 07:10, sūryāsta 17:36.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2037-01-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2037-01-01","sa":"https://sa.vidhyamitra.com/city/mathura/2037-01-01","hi":"https://hi.vidhyamitra.com/city/mathura/2037-01-01","x-default":"https://vidhyamitra.com/city/mathura/2037-01-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T21:43:49.636Z","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":"2026-05-14T21:43:49.636Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T21:43:49.636Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}