{"id":"vidhyamitra:city-day:rishikesh:1862-12-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1862-12-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1862-12-04","date_display":"December 4, 1862 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":1862,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2401478.770833,"kali_year":4964,"ahargana":1813013.2708,"sun":{"sidereal_longitude":229.6019,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":24.0373,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":154.4353,"elapsed_within_tithi_degrees":10.4353},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":24.0373,"elapsed_within_degrees":10.7039},"yoga":{"number":20,"name":"Śiva","sum_longitude":253.6392},"karana":{"half_tithi_index":25,"name":"Taitila"},"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":1862,"month":12,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2401478.770833,"ahargana":1813013.2708,"kali_year":4964,"ayanamsa_lahiri":21.9382,"grahas":{"sun":{"sidereal_longitude":229.739008,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":24.984508000000005,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false,"latitude":2.5012},"mars":{"sidereal_longitude":351.671808,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":221.21950800000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":180.53770799999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":229.997608,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":163.04150800000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":237.8321,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":57.8321,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":1862,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2401478.770833,"kali_year":4964,"ahargana":1813013.2708,"sun":{"sidereal_longitude":229.6019,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":24.0373,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":154.4353,"elapsed_within_tithi_degrees":10.4353},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":24.0373,"elapsed_within_degrees":10.7039},"yoga":{"number":20,"name":"Śiva","sum_longitude":253.6392},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.501,"elongation":154.435},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.501,"opposition_distance":25.565}},"eclipse_window_40days":[{"offset_days":-12,"type":"solar","occurs":true,"moon_latitude":-1.414,"elongation":2.783},{"offset_days":2,"type":"lunar","occurs":true,"moon_latitude":0.646,"opposition_distance":2.183},{"offset_days":17,"type":"solar","occurs":true,"moon_latitude":0.605,"elongation":2.372}]},"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"06:58","sunsetLocal":"17:18","solarNoonLocal":"12:08","dayLengthHours":10.320385508691807,"dayLengthDisplay":"10 Hours 19 Mins 13 Secs","nightLengthDisplay":"13 Hours 40 Mins 47 Secs","moonriseLocal":"15:46","moonsetLocal":"05:12","rahuKala":{"name":"Rāhu Kāla","start":"13:25","end":"14:43","startHours":13.422861113018092,"endHours":14.712909301604569,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:58","end":"08:16","startHours":6.972620170085713,"endHours":8.262668358672189,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:33","end":"10:51","startHours":9.552716547258665,"endHours":10.84276473584514,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:23","end":"09:43","startHours":9.3807101221138,"endHours":9.724722972403528,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:24","end":"07:41","startHours":7.402636232947871,"endHours":7.677846513179652,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:29","startHours":11.788800074141887,"endHours":12.476825774721343,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:36","end":"06:17","startHours":5.596568768926805,"endHours":6.284594469506259,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:07","end":"06:58","startHours":6.112588044361395,"endHours":6.972620170085713,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:51","end":"14:32","startHours":13.85287717588025,"endHours":14.540902876459704,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:06","end":"17:30","startHours":17.09300567877752,"endHours":17.493005678777518,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:18","end":"17:43","startHours":17.29300567877752,"endHours":17.723021741639677,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:03","end":"18:48","startHours":17.04300567877752,"endHours":18.79300567877752,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:29","startHours":23.78880007414189,"endHours":24.47682577472134,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:58","end":"08:16","startHours":6.972620170085713,"endHours":8.262668358672189,"quality":"auspicious"},{"name":"Roga","start":"08:16","end":"09:33","startHours":8.262668358672189,"endHours":9.552716547258665,"quality":"inauspicious"},{"name":"Udveg","start":"09:33","end":"10:51","startHours":9.552716547258665,"endHours":10.84276473584514,"quality":"inauspicious"},{"name":"Chala","start":"10:51","end":"12:08","startHours":10.84276473584514,"endHours":12.132812924431615,"quality":"neutral"},{"name":"Labha","start":"12:08","end":"13:25","startHours":12.132812924431615,"endHours":13.422861113018092,"quality":"auspicious"},{"name":"Amṛta","start":"13:25","end":"14:43","startHours":13.422861113018092,"endHours":14.712909301604569,"quality":"auspicious"},{"name":"Kāla","start":"14:43","end":"16:00","startHours":14.712909301604569,"endHours":16.002957490191044,"quality":"inauspicious"},{"name":"Śubha","start":"16:00","end":"17:18","startHours":16.002957490191044,"endHours":17.29300567877752,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:18","end":"19:00","startHours":17.29300567877752,"endHours":19.002957490191044,"quality":"auspicious"},{"name":"Kāla","start":"19:00","end":"20:43","startHours":19.002957490191044,"endHours":20.71290930160457,"quality":"inauspicious"},{"name":"Śubha","start":"20:43","end":"22:25","startHours":20.71290930160457,"endHours":22.42286111301809,"quality":"auspicious"},{"name":"Roga","start":"22:25","end":"00:08","startHours":22.42286111301809,"endHours":24.132812924431615,"quality":"inauspicious"},{"name":"Udveg","start":"00:08","end":"01:51","startHours":24.132812924431615,"endHours":25.84276473584514,"quality":"inauspicious"},{"name":"Chala","start":"01:51","end":"03:33","startHours":25.84276473584514,"endHours":27.55271654725866,"quality":"neutral"},{"name":"Labha","start":"03:33","end":"05:16","startHours":27.55271654725866,"endHours":29.262668358672187,"quality":"auspicious"},{"name":"Amṛta","start":"05:16","end":"06:58","startHours":29.262668358672187,"endHours":30.972620170085712,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:58","end":"07:58","startHours":6.972620170085713,"endHours":7.972620170085713,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:58","end":"08:58","startHours":7.972620170085713,"endHours":8.972620170085712,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:58","end":"09:58","startHours":8.972620170085712,"endHours":9.972620170085712,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:58","end":"10:58","startHours":9.972620170085712,"endHours":10.972620170085712,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:58","end":"11:58","startHours":10.972620170085712,"endHours":11.972620170085712,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:58","end":"12:58","startHours":11.972620170085712,"endHours":12.972620170085712,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:58","end":"13:58","startHours":12.972620170085712,"endHours":13.972620170085712,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:58","end":"14:58","startHours":13.972620170085712,"endHours":14.972620170085712,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:58","end":"15:58","startHours":14.972620170085712,"endHours":15.972620170085712,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:58","end":"16:58","startHours":15.972620170085712,"endHours":16.972620170085712,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:58","end":"17:58","startHours":16.972620170085712,"endHours":17.972620170085712,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:58","end":"18:58","startHours":17.972620170085712,"endHours":18.972620170085712,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:58","end":"19:58","startHours":18.972620170085712,"endHours":19.972620170085712,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:58","end":"20:58","startHours":19.972620170085712,"endHours":20.972620170085712,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:58","end":"21:58","startHours":20.972620170085712,"endHours":21.972620170085712,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:58","end":"22:58","startHours":21.972620170085712,"endHours":22.972620170085712,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:58","end":"23:58","startHours":22.972620170085712,"endHours":23.972620170085712,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:58","end":"00:58","startHours":23.972620170085712,"endHours":24.972620170085712,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:58","end":"01:58","startHours":24.972620170085712,"endHours":25.972620170085712,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:58","end":"02:58","startHours":25.972620170085712,"endHours":26.972620170085712,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:58","end":"03:58","startHours":26.972620170085712,"endHours":27.972620170085712,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:58","end":"04:58","startHours":27.972620170085712,"endHours":28.972620170085712,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:58","end":"05:58","startHours":28.972620170085712,"endHours":29.972620170085712,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:58","end":"06:58","startHours":29.972620170085712,"endHours":30.972620170085712,"planetary_lord":"Moon"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.183096804584064,"eotMinutes":8.960824534103129,"ayanamsa":21.9382}},"calendars":{"vikram_samvat":1919,"vikram_samvatsara":"Yuva","saka_samvat":1784,"saka_samvatsara":"Dundubhi","bengali_samvat":1269,"malayalam_era":1038,"nanakshahi_year":393,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Trayodaśī · Vikram 1919 Yuva · Śaka 1784 Dundubhi"},"festivals":[{"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":"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":"rishikesh"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 4, 1862 CE · Ṛṣikeśa · Vidhyamitra","description":"December 4, 1862 CE for Ṛṣikeśa: Śukla Trayodaśī, sūryodaya 06:58, sūryāsta 17:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1862-12-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1862-12-04","sa":"https://sa.vidhyamitra.com/city/rishikesh/1862-12-04","hi":"https://hi.vidhyamitra.com/city/rishikesh/1862-12-04","x-default":"https://vidhyamitra.com/city/rishikesh/1862-12-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T20:32:52.832Z","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":"2026-05-31T20:32:52.832Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T20:32:52.832Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}