{"id":"vidhyamitra:city-day:mathura:1957-01-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1957-01-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1957-01-07","date_display":"January 7, 1957 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":1957,"month":1,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2435845.770833,"kali_year":5058,"ahargana":1847380.2708,"sun":{"sidereal_longitude":263.153,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":331.7764,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":68.6234,"elapsed_within_tithi_degrees":8.6234},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":331.7764,"elapsed_within_degrees":11.7764},"yoga":{"number":18,"name":"Varīyān","sum_longitude":234.9294},"karana":{"half_tithi_index":11,"name":"Taitila"},"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":1957,"month":1,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2435845.770833,"ahargana":1847380.2708,"kali_year":5058,"ayanamsa_lahiri":23.2526,"grahas":{"sun":{"sidereal_longitude":263.2285360000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":327.994136,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false,"latitude":4.0818},"mars":{"sidereal_longitude":354.482236,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":271.890036,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":158.412736,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":240.08973600000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":227.06183599999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":216.903,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":36.903,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"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":1957,"month":1,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2435845.770833,"kali_year":5058,"ahargana":1847380.2708,"sun":{"sidereal_longitude":263.153,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":331.7764,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":68.6234,"elapsed_within_tithi_degrees":8.6234},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":331.7764,"elapsed_within_degrees":11.7764},"yoga":{"number":18,"name":"Varīyān","sum_longitude":234.9294},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.082,"elongation":68.623},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.082,"opposition_distance":111.377}},"eclipse_window_40days":[]},"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":"07:11","sunsetLocal":"17:40","solarNoonLocal":"12:26","dayLengthHours":10.485317351537828,"dayLengthDisplay":"10 Hours 29 Mins 07 Secs","nightLengthDisplay":"13 Hours 30 Mins 53 Secs","moonriseLocal":"10:49","moonsetLocal":"22:40","rahuKala":{"name":"Rāhu Kāla","start":"08:30","end":"09:48","startHours":8.49462723163031,"endHours":9.80529190057254,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:07","end":"12:26","startHours":11.115956569514768,"endHours":12.426621238456995,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:44","end":"15:03","startHours":13.737285907399226,"endHours":15.047950576341453,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"09:59","startHours":9.630536611380242,"endHours":9.980047189764836,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.620850785668825,"endHours":7.9004592483765,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:47","startHours":12.077110660072401,"endHours":12.77613181684159,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.785920249149705,"endHours":6.484941405918893,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:11","startHours":6.310186116726596,"endHours":7.183962562688082,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:10","end":"14:52","startHours":14.174174130379967,"endHours":14.873195287149155,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:28","end":"17:52","startHours":17.46927991422591,"endHours":17.86927991422591,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:40","end":"18:06","startHours":17.66927991422591,"endHours":18.10616813720665,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:25","end":"19:10","startHours":17.41927991422591,"endHours":19.16927991422591,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:47","startHours":24.0771106600724,"endHours":24.77613181684159,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:11","end":"08:30","startHours":7.183962562688082,"endHours":8.49462723163031,"quality":"auspicious"},{"name":"Kāla","start":"08:30","end":"09:48","startHours":8.49462723163031,"endHours":9.80529190057254,"quality":"inauspicious"},{"name":"Śubha","start":"09:48","end":"11:07","startHours":9.80529190057254,"endHours":11.115956569514768,"quality":"auspicious"},{"name":"Roga","start":"11:07","end":"12:26","startHours":11.115956569514768,"endHours":12.426621238456995,"quality":"inauspicious"},{"name":"Udveg","start":"12:26","end":"13:44","startHours":12.426621238456995,"endHours":13.737285907399226,"quality":"inauspicious"},{"name":"Chala","start":"13:44","end":"15:03","startHours":13.737285907399226,"endHours":15.047950576341453,"quality":"neutral"},{"name":"Labha","start":"15:03","end":"16:22","startHours":15.047950576341453,"endHours":16.35861524528368,"quality":"auspicious"},{"name":"Amṛta","start":"16:22","end":"17:40","startHours":16.35861524528368,"endHours":17.66927991422591,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:40","end":"19:22","startHours":17.66927991422591,"endHours":19.358615245283683,"quality":"neutral"},{"name":"Labha","start":"19:22","end":"21:03","startHours":19.358615245283683,"endHours":21.047950576341453,"quality":"auspicious"},{"name":"Amṛta","start":"21:03","end":"22:44","startHours":21.047950576341453,"endHours":22.737285907399226,"quality":"auspicious"},{"name":"Kāla","start":"22:44","end":"00:26","startHours":22.737285907399226,"endHours":24.426621238456995,"quality":"inauspicious"},{"name":"Śubha","start":"00:26","end":"02:07","startHours":24.426621238456995,"endHours":26.11595656951477,"quality":"auspicious"},{"name":"Roga","start":"02:07","end":"03:48","startHours":26.11595656951477,"endHours":27.80529190057254,"quality":"inauspicious"},{"name":"Udveg","start":"03:48","end":"05:30","startHours":27.80529190057254,"endHours":29.49462723163031,"quality":"inauspicious"},{"name":"Chala","start":"05:30","end":"07:11","startHours":29.49462723163031,"endHours":31.18396256268808,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.183962562688082,"endHours":8.183962562688082,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.183962562688082,"endHours":9.183962562688082,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.183962562688082,"endHours":10.183962562688082,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.183962562688082,"endHours":11.183962562688082,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.183962562688082,"endHours":12.183962562688082,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.183962562688082,"endHours":13.183962562688082,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.183962562688082,"endHours":14.183962562688082,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.183962562688082,"endHours":15.183962562688082,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.183962562688082,"endHours":16.18396256268808,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.18396256268808,"endHours":17.18396256268808,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.18396256268808,"endHours":18.18396256268808,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.18396256268808,"endHours":19.18396256268808,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.18396256268808,"endHours":20.18396256268808,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.18396256268808,"endHours":21.18396256268808,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.18396256268808,"endHours":22.18396256268808,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.18396256268808,"endHours":23.18396256268808,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.18396256268808,"endHours":24.18396256268808,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.18396256268808,"endHours":25.18396256268808,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.18396256268808,"endHours":26.18396256268808,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.18396256268808,"endHours":27.18396256268808,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.18396256268808,"endHours":28.18396256268808,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.18396256268808,"endHours":29.18396256268808,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.18396256268808,"endHours":30.18396256268808,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.18396256268808,"endHours":31.18396256268808,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Ānanda","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":-22.41986508325279,"eotMinutes":-6.292074307419696,"ayanamsa":23.2526}},"calendars":{"vikram_samvat":2014,"vikram_samvatsara":"Sādhāraṇa","saka_samvat":1879,"saka_samvatsara":"Hemalambī","bengali_samvat":1364,"malayalam_era":1133,"nanakshahi_year":488,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Ṣaṣṭhī · Vikram 2014 Sādhāraṇa · Śaka 1879 Hemalambī"},"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":"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 7, 1957 CE · Mathurā · Vidhyamitra","description":"January 7, 1957 CE for Mathurā: Śukla Ṣaṣṭhī, sūryodaya 07:11, sūryāsta 17:40.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1957-01-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1957-01-07","sa":"https://sa.vidhyamitra.com/city/mathura/1957-01-07","hi":"https://hi.vidhyamitra.com/city/mathura/1957-01-07","x-default":"https://vidhyamitra.com/city/mathura/1957-01-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:38:07.108Z","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":"2026-05-14T14:38:07.108Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:38:07.108Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}