{"id":"vidhyamitra:city-day:ujjain:1802-01-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/1802-01-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1802-01-07","date_display":"January 7, 1802 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":1802,"month":1,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2379232.770833,"kali_year":4903,"ahargana":1790767.2708,"sun":{"sidereal_longitude":265.3188,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":300.6363,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":35.3175,"elapsed_within_tithi_degrees":11.3175},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3,"moon_longitude":300.6363,"elapsed_within_degrees":7.3029},"yoga":{"number":16,"name":"Siddhi","sum_longitude":205.955},"karana":{"half_tithi_index":5,"name":"Gara"},"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":1802,"month":1,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2379232.770833,"ahargana":1790767.2708,"kali_year":4903,"ayanamsa_lahiri":21.0873,"grahas":{"sun":{"sidereal_longitude":265.01456899999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":303.111669,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false,"latitude":-2.6366},"mars":{"sidereal_longitude":244.62676899999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":255.21186899999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":136.145669,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":250.85346900000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":138.034469,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":336.5322,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":156.5322,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","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":1802,"month":1,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2379232.770833,"kali_year":4903,"ahargana":1790767.2708,"sun":{"sidereal_longitude":265.3188,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":300.6363,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":35.3175,"elapsed_within_tithi_degrees":11.3175},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3,"moon_longitude":300.6363,"elapsed_within_degrees":7.3029},"yoga":{"number":16,"name":"Siddhi","sum_longitude":205.955},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.637,"elongation":35.317},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.637,"opposition_distance":144.683}},"eclipse_window_40days":[]},"city":{"slug":"ujjain","name":"Ujjain","lat":23.1765,"lon":75.7885,"tz_offset_hours":5.5,"state":"Madhya Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"ujjain","name":"Ujjain","lat":23.1765,"lon":75.7885,"tz_offset_hours":5.5,"state":"Madhya Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:10","sunsetLocal":"17:56","solarNoonLocal":"12:33","dayLengthHours":10.773053250496673,"dayLengthDisplay":"10 Hours 46 Mins 23 Secs","nightLengthDisplay":"13 Hours 13 Mins 37 Secs","moonriseLocal":"09:26","moonsetLocal":"20:45","rahuKala":{"name":"Rāhu Kāla","start":"13:54","end":"15:15","startHours":13.898932894769079,"endHours":15.245564551081163,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:10","end":"08:31","startHours":7.165774613208657,"endHours":8.512406269520742,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:52","end":"11:12","startHours":9.859037925832826,"endHours":11.20566958214491,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:41","end":"10:02","startHours":9.679487038324547,"endHours":10.038588813341104,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.6146518319793515,"endHours":7.901933251992596,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:12","end":"12:55","startHours":12.193199463440438,"endHours":12.911403013473551,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:44","end":"06:27","startHours":5.729367513142434,"endHours":6.447571063175546,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:16","end":"07:10","startHours":6.268020175667267,"endHours":7.165774613208657,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:21","end":"15:04","startHours":14.347810113539772,"endHours":15.066013663572884,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:44","end":"18:08","startHours":17.738827863705332,"endHours":18.13882786370533,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:56","end":"18:23","startHours":17.93882786370533,"endHours":18.387705082476025,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:41","end":"19:26","startHours":17.68882786370533,"endHours":19.43882786370533,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:12","end":"00:55","startHours":24.19319946344044,"endHours":24.91140301347355,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:10","end":"08:31","startHours":7.165774613208657,"endHours":8.512406269520742,"quality":"auspicious"},{"name":"Roga","start":"08:31","end":"09:52","startHours":8.512406269520742,"endHours":9.859037925832826,"quality":"inauspicious"},{"name":"Udveg","start":"09:52","end":"11:12","startHours":9.859037925832826,"endHours":11.20566958214491,"quality":"inauspicious"},{"name":"Chala","start":"11:12","end":"12:33","startHours":11.20566958214491,"endHours":12.552301238456995,"quality":"neutral"},{"name":"Labha","start":"12:33","end":"13:54","startHours":12.552301238456995,"endHours":13.898932894769079,"quality":"auspicious"},{"name":"Amṛta","start":"13:54","end":"15:15","startHours":13.898932894769079,"endHours":15.245564551081163,"quality":"auspicious"},{"name":"Kāla","start":"15:15","end":"16:36","startHours":15.245564551081163,"endHours":16.592196207393247,"quality":"inauspicious"},{"name":"Śubha","start":"16:36","end":"17:56","startHours":16.592196207393247,"endHours":17.93882786370533,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:56","end":"19:36","startHours":17.93882786370533,"endHours":19.592196207393247,"quality":"auspicious"},{"name":"Kāla","start":"19:36","end":"21:15","startHours":19.592196207393247,"endHours":21.245564551081163,"quality":"inauspicious"},{"name":"Śubha","start":"21:15","end":"22:54","startHours":21.245564551081163,"endHours":22.89893289476908,"quality":"auspicious"},{"name":"Roga","start":"22:54","end":"00:33","startHours":22.89893289476908,"endHours":24.552301238456995,"quality":"inauspicious"},{"name":"Udveg","start":"00:33","end":"02:12","startHours":24.552301238456995,"endHours":26.20566958214491,"quality":"inauspicious"},{"name":"Chala","start":"02:12","end":"03:52","startHours":26.20566958214491,"endHours":27.859037925832826,"quality":"neutral"},{"name":"Labha","start":"03:52","end":"05:31","startHours":27.859037925832826,"endHours":29.512406269520742,"quality":"auspicious"},{"name":"Amṛta","start":"05:31","end":"07:10","startHours":29.512406269520742,"endHours":31.165774613208658,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.165774613208657,"endHours":8.165774613208658,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.165774613208658,"endHours":9.165774613208658,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.165774613208658,"endHours":10.165774613208658,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.165774613208658,"endHours":11.165774613208658,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.165774613208658,"endHours":12.165774613208658,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.165774613208658,"endHours":13.165774613208658,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.165774613208658,"endHours":14.165774613208658,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.165774613208658,"endHours":15.165774613208658,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.165774613208658,"endHours":16.165774613208658,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.165774613208658,"endHours":17.165774613208658,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.165774613208658,"endHours":18.165774613208658,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.165774613208658,"endHours":19.165774613208658,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.165774613208658,"endHours":20.165774613208658,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.165774613208658,"endHours":21.165774613208658,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.165774613208658,"endHours":22.165774613208658,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.165774613208658,"endHours":23.165774613208658,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.165774613208658,"endHours":24.165774613208658,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.165774613208658,"endHours":25.165774613208658,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.165774613208658,"endHours":26.165774613208658,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.165774613208658,"endHours":27.165774613208658,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.165774613208658,"endHours":28.165774613208658,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.165774613208658,"endHours":29.165774613208658,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.165774613208658,"endHours":30.165774613208658,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.165774613208658,"endHours":31.165774613208658,"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","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"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":-22.465648802760562,"eotMinutes":-6.292074307419696,"ayanamsa":21.0873}},"calendars":{"vikram_samvat":1859,"vikram_samvatsara":"Yuva","saka_samvat":1724,"saka_samvatsara":"Dundubhi","bengali_samvat":1209,"malayalam_era":978,"nanakshahi_year":333,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","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":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Tṛtīyā · Vikram 1859 Yuva · Śaka 1724 Dundubhi"},"festivals":[],"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":"ujjain"},"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, 1802 CE · Ujjain · Vidhyamitra","description":"January 7, 1802 CE for Ujjain: Śukla Tṛtīyā, sūryodaya 07:10, sūryāsta 17:56.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/1802-01-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/1802-01-07","sa":"https://sa.vidhyamitra.com/city/ujjain/1802-01-07","hi":"https://hi.vidhyamitra.com/city/ujjain/1802-01-07","x-default":"https://vidhyamitra.com/city/ujjain/1802-01-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T08:01:30.086Z","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":"2026-06-02T08:01:30.086Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T08:01:30.086Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}