{"id":"vidhyamitra:city-day:mathura:1663-01-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1663-01-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1663-01-07","date_display":"January 7, 1663 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":1663,"month":1,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2328464.770833,"kali_year":4764,"ahargana":1739999.2708,"sun":{"sidereal_longitude":268.3674,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":239.2252,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":330.8578,"elapsed_within_tithi_degrees":6.8578},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4,"moon_longitude":239.2252,"elapsed_within_degrees":12.5586},"yoga":{"number":12,"name":"Dhruva","sum_longitude":147.5927},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"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":1663,"month":1,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2328464.770833,"ahargana":1739999.2708,"kali_year":4764,"ayanamsa_lahiri":19.1456,"grahas":{"sun":{"sidereal_longitude":267.71528,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":240.08148000000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false,"latitude":4.4948},"mars":{"sidereal_longitude":271.52847999999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":252.02418,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":231.11357999999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":263.92218,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":237.72528,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":146.4652,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":326.4652,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva 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":1663,"month":1,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2328464.770833,"kali_year":4764,"ahargana":1739999.2708,"sun":{"sidereal_longitude":268.3674,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":239.2252,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":330.8578,"elapsed_within_tithi_degrees":6.8578},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4,"moon_longitude":239.2252,"elapsed_within_degrees":12.5586},"yoga":{"number":12,"name":"Dhruva","sum_longitude":147.5927},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.495,"elongation":29.142},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.495,"opposition_distance":150.858}},"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":10.489150531552257,"dayLengthDisplay":"10 Hours 29 Mins 21 Secs","nightLengthDisplay":"13 Hours 30 Mins 39 Secs","moonriseLocal":"05:23","moonsetLocal":"15:47","rahuKala":{"name":"Rāhu Kāla","start":"16:22","end":"17:40","startHours":16.360052687789093,"endHours":17.671196504233123,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:26","end":"13:44","startHours":12.426621238456995,"endHours":13.737765054901026,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:03","end":"16:22","startHours":15.04890887134506,"endHours":16.360052687789093,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"09:59","startHours":9.62951443004306,"endHours":9.9791527810948,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.619093911495543,"endHours":7.898804592336937,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:47","startHours":12.076982887405254,"endHours":12.776259589508737,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.783492568473898,"endHours":6.482769270577382,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.3079500950515115,"endHours":7.182045972680866,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:10","end":"14:52","startHours":14.174812993715705,"endHours":14.874089695819189,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:28","end":"17:52","startHours":17.471196504233124,"endHours":17.871196504233122,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:40","end":"18:06","startHours":17.671196504233123,"endHours":18.108244443047802,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:25","end":"19:10","startHours":17.421196504233123,"endHours":19.171196504233123,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:47","startHours":24.076982887405254,"endHours":24.776259589508737,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:11","end":"08:30","startHours":7.182045972680866,"endHours":8.493189789124898,"quality":"inauspicious"},{"name":"Chala","start":"08:30","end":"09:48","startHours":8.493189789124898,"endHours":9.80433360556893,"quality":"neutral"},{"name":"Labha","start":"09:48","end":"11:07","startHours":9.80433360556893,"endHours":11.115477422012962,"quality":"auspicious"},{"name":"Amṛta","start":"11:07","end":"12:26","startHours":11.115477422012962,"endHours":12.426621238456995,"quality":"auspicious"},{"name":"Kāla","start":"12:26","end":"13:44","startHours":12.426621238456995,"endHours":13.737765054901026,"quality":"inauspicious"},{"name":"Śubha","start":"13:44","end":"15:03","startHours":13.737765054901026,"endHours":15.04890887134506,"quality":"auspicious"},{"name":"Roga","start":"15:03","end":"16:22","startHours":15.04890887134506,"endHours":16.360052687789093,"quality":"inauspicious"},{"name":"Udveg","start":"16:22","end":"17:40","startHours":16.360052687789093,"endHours":17.671196504233123,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:40","end":"19:22","startHours":17.671196504233123,"endHours":19.36005268778909,"quality":"auspicious"},{"name":"Roga","start":"19:22","end":"21:03","startHours":19.36005268778909,"endHours":21.04890887134506,"quality":"inauspicious"},{"name":"Udveg","start":"21:03","end":"22:44","startHours":21.04890887134506,"endHours":22.737765054901026,"quality":"inauspicious"},{"name":"Chala","start":"22:44","end":"00:26","startHours":22.737765054901026,"endHours":24.426621238456995,"quality":"neutral"},{"name":"Labha","start":"00:26","end":"02:07","startHours":24.426621238456995,"endHours":26.11547742201296,"quality":"auspicious"},{"name":"Amṛta","start":"02:07","end":"03:48","startHours":26.11547742201296,"endHours":27.804333605568928,"quality":"auspicious"},{"name":"Kāla","start":"03:48","end":"05:30","startHours":27.804333605568928,"endHours":29.493189789124898,"quality":"inauspicious"},{"name":"Śubha","start":"05:30","end":"07:11","startHours":29.493189789124898,"endHours":31.182045972680868,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.182045972680866,"endHours":8.182045972680866,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.182045972680866,"endHours":9.182045972680866,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.182045972680866,"endHours":10.182045972680866,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.182045972680866,"endHours":11.182045972680866,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.182045972680866,"endHours":12.182045972680866,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.182045972680866,"endHours":13.182045972680866,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.182045972680866,"endHours":14.182045972680866,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.182045972680866,"endHours":15.182045972680866,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.182045972680866,"endHours":16.182045972680868,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.182045972680868,"endHours":17.182045972680868,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.182045972680868,"endHours":18.182045972680868,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.182045972680868,"endHours":19.182045972680868,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.182045972680868,"endHours":20.182045972680868,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.182045972680868,"endHours":21.182045972680868,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.182045972680868,"endHours":22.182045972680868,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.182045972680868,"endHours":23.182045972680868,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.182045972680868,"endHours":24.182045972680868,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.182045972680868,"endHours":25.182045972680868,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.182045972680868,"endHours":26.182045972680868,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.182045972680868,"endHours":27.182045972680868,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.182045972680868,"endHours":28.182045972680868,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.182045972680868,"endHours":29.182045972680868,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.182045972680868,"endHours":30.182045972680868,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.182045972680868,"endHours":31.182045972680868,"planetary_lord":"Jupiter"}],"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":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.37300150598218,"eotMinutes":-6.292074307419696,"ayanamsa":19.1456}},"calendars":{"vikram_samvat":1720,"vikram_samvatsara":"Nala","saka_samvat":1585,"saka_samvatsara":"Śobhana","bengali_samvat":1070,"malayalam_era":839,"nanakshahi_year":194,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Trayodaśī · Vikram 1720 Nala · Śaka 1585 Śobhana"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi_eve_of_ingress":"Makara"},"precedence":4},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Jyeṣṭhā","url":"/day/-3137-10-20","relevance":0.5}]},"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, 1663 CE · Mathurā · Vidhyamitra","description":"January 7, 1663 CE for Mathurā: Kṛṣṇa Trayodaśī, sūryodaya 07:11, sūryāsta 17:40.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1663-01-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1663-01-07","sa":"https://sa.vidhyamitra.com/city/mathura/1663-01-07","hi":"https://hi.vidhyamitra.com/city/mathura/1663-01-07","x-default":"https://vidhyamitra.com/city/mathura/1663-01-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-05T08:00:44.072Z","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":"2026-06-05T08:00:44.072Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-05T08:00:44.072Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}