{"id":"vidhyamitra:city-day:mathura:2087-01-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2087-01-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2087-01-07","date_display":"January 7, 2087 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":2087,"month":1,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483327.770833,"kali_year":5188,"ahargana":1894862.2708,"sun":{"sidereal_longitude":261.4689,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":287.118,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":25.6491,"elapsed_within_tithi_degrees":1.6491},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":287.118,"elapsed_within_degrees":7.118},"yoga":{"number":15,"name":"Vajra","sum_longitude":188.5869},"karana":{"half_tithi_index":4,"name":"Taitila"},"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":2087,"month":1,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2483327.770833,"ahargana":1894862.2708,"kali_year":5188,"ayanamsa_lahiri":25.0686,"grahas":{"sun":{"sidereal_longitude":261.86287500000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":288.235275,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false,"latitude":4.1115},"mars":{"sidereal_longitude":65.398075,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":273.744375,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":142.90777500000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":283.9384749999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":357.819575,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":221.0782,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":41.0782,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"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":2087,"month":1,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483327.770833,"kali_year":5188,"ahargana":1894862.2708,"sun":{"sidereal_longitude":261.4689,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":287.118,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":25.6491,"elapsed_within_tithi_degrees":1.6491},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":287.118,"elapsed_within_degrees":7.118},"yoga":{"number":15,"name":"Vajra","sum_longitude":188.5869},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.112,"elongation":25.649},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.112,"opposition_distance":154.351}},"eclipse_window_40days":[{"offset_days":-18,"type":"lunar","occurs":true,"moon_latitude":-1.44,"opposition_distance":2.26}]},"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":10.489872006843079,"dayLengthDisplay":"10 Hours 29 Mins 24 Secs","nightLengthDisplay":"13 Hours 30 Mins 36 Secs","moonriseLocal":"08:45","moonsetLocal":"19:38","rahuKala":{"name":"Rāhu Kāla","start":"15:03","end":"16:22","startHours":15.049089240167763,"endHours":16.36032324102315,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:48","end":"11:07","startHours":9.804153236746224,"endHours":11.11538723760161,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:26","end":"13:44","startHours":12.426621238456995,"endHours":13.73785523931238,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"09:59","startHours":9.629322036632173,"endHours":9.978984436860276,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.618763235320583,"endHours":7.898493155503065,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:47","startHours":12.076958838228892,"endHours":12.776283638685099,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.783035634123045,"endHours":6.48236043457925,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.307529234465198,"endHours":7.181685235035455,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:10","end":"14:52","startHours":14.174933239597507,"endHours":14.874258040053713,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:28","end":"17:52","startHours":17.471557241878536,"endHours":17.871557241878534,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:40","end":"18:07","startHours":17.671557241878535,"endHours":18.108635242163665,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:25","end":"19:10","startHours":17.421557241878535,"endHours":19.171557241878535,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:47","startHours":24.076958838228894,"endHours":24.776283638685097,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:11","end":"08:30","startHours":7.181685235035455,"endHours":8.49291923589084,"quality":"inauspicious"},{"name":"Udveg","start":"08:30","end":"09:48","startHours":8.49291923589084,"endHours":9.804153236746224,"quality":"inauspicious"},{"name":"Chala","start":"09:48","end":"11:07","startHours":9.804153236746224,"endHours":11.11538723760161,"quality":"neutral"},{"name":"Labha","start":"11:07","end":"12:26","startHours":11.11538723760161,"endHours":12.426621238456995,"quality":"auspicious"},{"name":"Amṛta","start":"12:26","end":"13:44","startHours":12.426621238456995,"endHours":13.73785523931238,"quality":"auspicious"},{"name":"Kāla","start":"13:44","end":"15:03","startHours":13.73785523931238,"endHours":15.049089240167763,"quality":"inauspicious"},{"name":"Śubha","start":"15:03","end":"16:22","startHours":15.049089240167763,"endHours":16.36032324102315,"quality":"auspicious"},{"name":"Roga","start":"16:22","end":"17:40","startHours":16.36032324102315,"endHours":17.671557241878535,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:40","end":"19:22","startHours":17.671557241878535,"endHours":19.36032324102315,"quality":"inauspicious"},{"name":"Śubha","start":"19:22","end":"21:03","startHours":19.36032324102315,"endHours":21.049089240167767,"quality":"auspicious"},{"name":"Roga","start":"21:03","end":"22:44","startHours":21.049089240167767,"endHours":22.73785523931238,"quality":"inauspicious"},{"name":"Udveg","start":"22:44","end":"00:26","startHours":22.73785523931238,"endHours":24.426621238456995,"quality":"inauspicious"},{"name":"Chala","start":"00:26","end":"02:07","startHours":24.426621238456995,"endHours":26.11538723760161,"quality":"neutral"},{"name":"Labha","start":"02:07","end":"03:48","startHours":26.11538723760161,"endHours":27.804153236746224,"quality":"auspicious"},{"name":"Amṛta","start":"03:48","end":"05:30","startHours":27.804153236746224,"endHours":29.49291923589084,"quality":"auspicious"},{"name":"Kāla","start":"05:30","end":"07:11","startHours":29.49291923589084,"endHours":31.181685235035456,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.181685235035455,"endHours":8.181685235035456,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.181685235035456,"endHours":9.181685235035456,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.181685235035456,"endHours":10.181685235035456,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.181685235035456,"endHours":11.181685235035456,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.181685235035456,"endHours":12.181685235035456,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.181685235035456,"endHours":13.181685235035456,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.181685235035456,"endHours":14.181685235035456,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.181685235035456,"endHours":15.181685235035456,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.181685235035456,"endHours":16.181685235035456,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.181685235035456,"endHours":17.181685235035456,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.181685235035456,"endHours":18.181685235035456,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.181685235035456,"endHours":19.181685235035456,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.181685235035456,"endHours":20.181685235035456,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.181685235035456,"endHours":21.181685235035456,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.181685235035456,"endHours":22.181685235035456,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.181685235035456,"endHours":23.181685235035456,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.181685235035456,"endHours":24.181685235035456,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.181685235035456,"endHours":25.181685235035456,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.181685235035456,"endHours":26.181685235035456,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.181685235035456,"endHours":27.181685235035456,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.181685235035456,"endHours":28.181685235035456,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.181685235035456,"endHours":29.181685235035456,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.181685235035456,"endHours":30.181685235035456,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.181685235035456,"endHours":31.181685235035456,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Kāladaṇḍa","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":-22.36417698197404,"eotMinutes":-6.292074307419696,"ayanamsa":25.0686}},"calendars":{"vikram_samvat":2144,"vikram_samvatsara":"Raudra","saka_samvat":2009,"saka_samvatsara":"Plavaṅga","bengali_samvat":1494,"malayalam_era":1263,"nanakshahi_year":618,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Tṛtīyā · Vikram 2144 Raudra · Śaka 2009 Plavaṅga"},"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":[]},"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, 2087 CE · Mathurā · Vidhyamitra","description":"January 7, 2087 CE for Mathurā: Śukla Tṛtīyā, sūryodaya 07:11, sūryāsta 17:40.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2087-01-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2087-01-07","sa":"https://sa.vidhyamitra.com/city/mathura/2087-01-07","hi":"https://hi.vidhyamitra.com/city/mathura/2087-01-07","x-default":"https://vidhyamitra.com/city/mathura/2087-01-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T16:39:51.067Z","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":"2026-05-14T16:39:51.067Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T16:39:51.067Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}