{"id":"vidhyamitra:city-day:mathura:2097-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2097-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2097-01-20","date_display":"January 20, 2097 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":2097,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2486993.770833,"kali_year":5198,"ahargana":1898528.2708,"sun":{"sidereal_longitude":275.2456,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":353.5302,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":78.2846,"elapsed_within_tithi_degrees":6.2846},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":353.5302,"elapsed_within_degrees":6.8635},"yoga":{"number":21,"name":"Siddha","sum_longitude":268.7758},"karana":{"half_tithi_index":13,"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":2097,"month":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2486993.770833,"ahargana":1898528.2708,"kali_year":5198,"ayanamsa_lahiri":25.2088,"grahas":{"sun":{"sidereal_longitude":275.549207,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":351.552907,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false,"latitude":-2.4692},"mars":{"sidereal_longitude":211.15180699999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":257.55680699999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":76.43610699999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":316.49430699999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":141.800207,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":26.8359,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":206.8359,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":2097,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2486993.770833,"kali_year":5198,"ahargana":1898528.2708,"sun":{"sidereal_longitude":275.2456,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":353.5302,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":78.2846,"elapsed_within_tithi_degrees":6.2846},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":353.5302,"elapsed_within_degrees":6.8635},"yoga":{"number":21,"name":"Siddha","sum_longitude":268.7758},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.469,"elongation":78.285},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.469,"opposition_distance":101.715}},"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":"07:10","sunsetLocal":"17:51","solarNoonLocal":"12:30","dayLengthHours":10.68082044138346,"dayLengthDisplay":"10 Hours 40 Mins 51 Secs","nightLengthDisplay":"13 Hours 19 Mins 09 Secs","moonriseLocal":"11:18","moonsetLocal":"23:51","rahuKala":{"name":"Rāhu Kāla","start":"16:31","end":"17:51","startHours":16.509799387805955,"endHours":17.844901942978886,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:30","end":"13:50","startHours":12.504491722287156,"endHours":13.83959427746009,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:10","end":"16:31","startHours":15.174696832633021,"endHours":16.509799387805955,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.656272937918235,"endHours":10.01230028596435,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.609115686653071,"endHours":7.8939375650899635,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:52","startHours":12.14846437424104,"endHours":12.860519070333272,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:44","end":"06:27","startHours":5.7399721094109655,"endHours":6.452026805503197,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:16","end":"07:10","startHours":6.274013131480139,"endHours":7.164081501595427,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:17","end":"15:00","startHours":14.284628462517734,"endHours":14.996683158609965,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:39","end":"18:03","startHours":17.644901942978887,"endHours":18.044901942978886,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:51","end":"18:17","startHours":17.844901942978886,"endHours":18.28993612803653,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:36","end":"19:21","startHours":17.594901942978886,"endHours":19.344901942978886,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:52","startHours":24.14846437424104,"endHours":24.86051907033327,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:10","end":"08:30","startHours":7.164081501595427,"endHours":8.49918405676836,"quality":"inauspicious"},{"name":"Chala","start":"08:30","end":"09:50","startHours":8.49918405676836,"endHours":9.834286611941291,"quality":"neutral"},{"name":"Labha","start":"09:50","end":"11:10","startHours":9.834286611941291,"endHours":11.169389167114225,"quality":"auspicious"},{"name":"Amṛta","start":"11:10","end":"12:30","startHours":11.169389167114225,"endHours":12.504491722287156,"quality":"auspicious"},{"name":"Kāla","start":"12:30","end":"13:50","startHours":12.504491722287156,"endHours":13.83959427746009,"quality":"inauspicious"},{"name":"Śubha","start":"13:50","end":"15:10","startHours":13.83959427746009,"endHours":15.174696832633021,"quality":"auspicious"},{"name":"Roga","start":"15:10","end":"16:31","startHours":15.174696832633021,"endHours":16.509799387805955,"quality":"inauspicious"},{"name":"Udveg","start":"16:31","end":"17:51","startHours":16.509799387805955,"endHours":17.844901942978886,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:51","end":"19:31","startHours":17.844901942978886,"endHours":19.509799387805955,"quality":"auspicious"},{"name":"Roga","start":"19:31","end":"21:10","startHours":19.509799387805955,"endHours":21.17469683263302,"quality":"inauspicious"},{"name":"Udveg","start":"21:10","end":"22:50","startHours":21.17469683263302,"endHours":22.839594277460087,"quality":"inauspicious"},{"name":"Chala","start":"22:50","end":"00:30","startHours":22.839594277460087,"endHours":24.504491722287156,"quality":"neutral"},{"name":"Labha","start":"00:30","end":"02:10","startHours":24.504491722287156,"endHours":26.169389167114225,"quality":"auspicious"},{"name":"Amṛta","start":"02:10","end":"03:50","startHours":26.169389167114225,"endHours":27.83428661194129,"quality":"auspicious"},{"name":"Kāla","start":"03:50","end":"05:30","startHours":27.83428661194129,"endHours":29.499184056768357,"quality":"inauspicious"},{"name":"Śubha","start":"05:30","end":"07:10","startHours":29.499184056768357,"endHours":31.164081501595426,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.164081501595427,"endHours":8.164081501595426,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.164081501595426,"endHours":9.164081501595426,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.164081501595426,"endHours":10.164081501595426,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.164081501595426,"endHours":11.164081501595426,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.164081501595426,"endHours":12.164081501595426,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.164081501595426,"endHours":13.164081501595426,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.164081501595426,"endHours":14.164081501595426,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.164081501595426,"endHours":15.164081501595426,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.164081501595426,"endHours":16.164081501595426,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.164081501595426,"endHours":17.164081501595426,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.164081501595426,"endHours":18.164081501595426,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.164081501595426,"endHours":19.164081501595426,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.164081501595426,"endHours":20.164081501595426,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.164081501595426,"endHours":21.164081501595426,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.164081501595426,"endHours":22.164081501595426,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.164081501595426,"endHours":23.164081501595426,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.164081501595426,"endHours":24.164081501595426,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.164081501595426,"endHours":25.164081501595426,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.164081501595426,"endHours":26.164081501595426,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.164081501595426,"endHours":27.164081501595426,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.164081501595426,"endHours":28.164081501595426,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.164081501595426,"endHours":29.164081501595426,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.164081501595426,"endHours":30.164081501595426,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.164081501595426,"endHours":31.164081501595426,"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","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"drikRitu":"Śiśira (Winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-19.985687968638757,"eotMinutes":-10.9643033372293,"ayanamsa":25.2088}},"calendars":{"vikram_samvat":2154,"vikram_samvatsara":"Pramoda","saka_samvat":2019,"saka_samvatsara":"Piṅgala","bengali_samvat":1504,"malayalam_era":1273,"nanakshahi_year":628,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Saptamī · Vikram 2154 Pramoda · Śaka 2019 Piṅgala"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi":"Makara"},"precedence":2}],"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":[]},"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 20, 2097 CE · Mathurā · Vidhyamitra","description":"January 20, 2097 CE for Mathurā: Śukla Saptamī, sūryodaya 07:10, sūryāsta 17:51.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2097-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2097-01-20","sa":"https://sa.vidhyamitra.com/city/mathura/2097-01-20","hi":"https://hi.vidhyamitra.com/city/mathura/2097-01-20","x-default":"https://vidhyamitra.com/city/mathura/2097-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:48:17.452Z","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":"2026-05-14T15:48:17.452Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:48:17.452Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}