{"id":"vidhyamitra:city-day:ujjain:1815-01-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/1815-01-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1815-01-01","date_display":"January 1, 1815 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":1815,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2383974.770833,"kali_year":4916,"ahargana":1795509.2708,"sun":{"sidereal_longitude":258.7772,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":145.5501,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":246.7729,"elapsed_within_tithi_degrees":6.7729},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":145.5501,"elapsed_within_degrees":12.2168},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":44.3273},"karana":{"half_tithi_index":41,"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":1815,"month":1,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2383974.770833,"ahargana":1795509.2708,"kali_year":4916,"ayanamsa_lahiri":21.2687,"grahas":{"sun":{"sidereal_longitude":258.55728999999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":148.65168999999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false,"latitude":3.9068},"mars":{"sidereal_longitude":219.63549,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":243.99089000000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":169.93709,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"venus":{"sidereal_longitude":262.49809000000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":281.00809000000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":85.2782,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":265.2782,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":1815,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2383974.770833,"kali_year":4916,"ahargana":1795509.2708,"sun":{"sidereal_longitude":258.7772,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":145.5501,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":246.7729,"elapsed_within_tithi_degrees":6.7729},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":145.5501,"elapsed_within_degrees":12.2168},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":44.3273},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.907,"elongation":113.227},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.907,"opposition_distance":66.773}},"eclipse_window_40days":[{"offset_days":-5,"type":"lunar","occurs":true,"moon_latitude":-0.909,"opposition_distance":0.239}]},"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":"07:09","sunsetLocal":"17:53","solarNoonLocal":"12:31","dayLengthHours":10.732340974249787,"dayLengthDisplay":"10 Hours 43 Mins 56 Secs","nightLengthDisplay":"13 Hours 16 Mins 04 Secs","moonriseLocal":"23:02","moonsetLocal":"11:20","rahuKala":{"name":"Rāhu Kāla","start":"16:32","end":"17:53","startHours":16.533814170733606,"endHours":17.87535679251483,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:31","end":"13:51","startHours":12.509186305389935,"endHours":13.85072892717116,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:12","end":"16:32","startHours":15.192271548952384,"endHours":16.533814170733606,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.64722871225666,"endHours":10.00497341139832,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:35","end":"07:53","startHours":7.590196692192117,"endHours":7.876392451505445,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:52","startHours":12.151441606248275,"endHours":12.866931004531596,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:43","end":"06:26","startHours":5.712037021698404,"endHours":6.4275264199817235,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:15","end":"07:09","startHours":6.248654070410893,"endHours":7.1430158182650425,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:18","end":"15:01","startHours":14.297909801098234,"endHours":15.013399199381553,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:41","end":"18:05","startHours":17.67535679251483,"endHours":18.075356792514828,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:53","end":"18:19","startHours":17.87535679251483,"endHours":18.322537666441903,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:38","end":"19:23","startHours":17.62535679251483,"endHours":19.37535679251483,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:52","startHours":24.151441606248277,"endHours":24.866931004531594,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:09","end":"08:29","startHours":7.1430158182650425,"endHours":8.484558440046266,"quality":"inauspicious"},{"name":"Chala","start":"08:29","end":"09:50","startHours":8.484558440046266,"endHours":9.82610106182749,"quality":"neutral"},{"name":"Labha","start":"09:50","end":"11:10","startHours":9.82610106182749,"endHours":11.167643683608713,"quality":"auspicious"},{"name":"Amṛta","start":"11:10","end":"12:31","startHours":11.167643683608713,"endHours":12.509186305389935,"quality":"auspicious"},{"name":"Kāla","start":"12:31","end":"13:51","startHours":12.509186305389935,"endHours":13.85072892717116,"quality":"inauspicious"},{"name":"Śubha","start":"13:51","end":"15:12","startHours":13.85072892717116,"endHours":15.192271548952384,"quality":"auspicious"},{"name":"Roga","start":"15:12","end":"16:32","startHours":15.192271548952384,"endHours":16.533814170733606,"quality":"inauspicious"},{"name":"Udveg","start":"16:32","end":"17:53","startHours":16.533814170733606,"endHours":17.87535679251483,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:53","end":"19:32","startHours":17.87535679251483,"endHours":19.533814170733606,"quality":"auspicious"},{"name":"Roga","start":"19:32","end":"21:12","startHours":19.533814170733606,"endHours":21.192271548952384,"quality":"inauspicious"},{"name":"Udveg","start":"21:12","end":"22:51","startHours":21.192271548952384,"endHours":22.850728927171158,"quality":"inauspicious"},{"name":"Chala","start":"22:51","end":"00:31","startHours":22.850728927171158,"endHours":24.509186305389935,"quality":"neutral"},{"name":"Labha","start":"00:31","end":"02:10","startHours":24.509186305389935,"endHours":26.167643683608713,"quality":"auspicious"},{"name":"Amṛta","start":"02:10","end":"03:50","startHours":26.167643683608713,"endHours":27.826101061827487,"quality":"auspicious"},{"name":"Kāla","start":"03:50","end":"05:29","startHours":27.826101061827487,"endHours":29.484558440046264,"quality":"inauspicious"},{"name":"Śubha","start":"05:29","end":"07:09","startHours":29.484558440046264,"endHours":31.14301581826504,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.1430158182650425,"endHours":8.143015818265042,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.143015818265042,"endHours":9.143015818265042,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.143015818265042,"endHours":10.143015818265042,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.143015818265042,"endHours":11.143015818265042,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.143015818265042,"endHours":12.143015818265042,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.143015818265042,"endHours":13.143015818265042,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.143015818265042,"endHours":14.143015818265042,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.143015818265042,"endHours":15.143015818265042,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.143015818265042,"endHours":16.14301581826504,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.14301581826504,"endHours":17.14301581826504,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.14301581826504,"endHours":18.14301581826504,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.14301581826504,"endHours":19.14301581826504,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.14301581826504,"endHours":20.14301581826504,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.14301581826504,"endHours":21.14301581826504,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.14301581826504,"endHours":22.14301581826504,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.14301581826504,"endHours":23.14301581826504,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.14301581826504,"endHours":24.14301581826504,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.14301581826504,"endHours":25.14301581826504,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.14301581826504,"endHours":26.14301581826504,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.14301581826504,"endHours":27.14301581826504,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.14301581826504,"endHours":28.14301581826504,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.14301581826504,"endHours":29.14301581826504,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.14301581826504,"endHours":30.14301581826504,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.14301581826504,"endHours":31.14301581826504,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"North-East","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":-23.07264766596239,"eotMinutes":-3.705178323396069,"ayanamsa":21.2687}},"calendars":{"vikram_samvat":1872,"vikram_samvatsara":"Sarvadhāri","saka_samvat":1737,"saka_samvatsara":"Yuva","bengali_samvat":1222,"malayalam_era":991,"nanakshahi_year":346,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","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 Kṛṣṇa Ṣaṣṭhī · Vikram 1872 Sarvadhāri · Śaka 1737 Yuva"},"festivals":[],"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":"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 1, 1815 CE · Ujjain · Vidhyamitra","description":"January 1, 1815 CE for Ujjain: Kṛṣṇa Ṣaṣṭhī, sūryodaya 07:09, sūryāsta 17:53.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/1815-01-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/1815-01-01","sa":"https://sa.vidhyamitra.com/city/ujjain/1815-01-01","hi":"https://hi.vidhyamitra.com/city/ujjain/1815-01-01","x-default":"https://vidhyamitra.com/city/ujjain/1815-01-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T10:36:03.993Z","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":"2026-05-31T10:36:03.993Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T10:36:03.993Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}