{"id":"vidhyamitra:city-day:rishikesh:2051-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2051-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2051-01-03","date_display":"January 3, 2051 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":2051,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470174.770833,"kali_year":5152,"ahargana":1881709.2708,"sun":{"sidereal_longitude":257.6806,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":146.4843,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":248.8036,"elapsed_within_tithi_degrees":8.8036},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":146.4843,"elapsed_within_degrees":13.1509},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":44.1649},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"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":2051,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470174.770833,"ahargana":1881709.2708,"kali_year":5152,"ayanamsa_lahiri":24.5655,"grahas":{"sun":{"sidereal_longitude":258.022516,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":144.883916,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false,"latitude":-3.5205},"mars":{"sidereal_longitude":341.424316,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":234.980416,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":130.207316,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":210.543816,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":282.796116,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":197.9874,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":17.9874,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2051,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470174.770833,"kali_year":5152,"ahargana":1881709.2708,"sun":{"sidereal_longitude":257.6806,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":146.4843,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":248.8036,"elapsed_within_tithi_degrees":8.8036},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":146.4843,"elapsed_within_degrees":13.1509},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":44.1649},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.52,"elongation":111.196},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.52,"opposition_distance":68.804}},"eclipse_window_40days":[]},"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":"07:14","sunsetLocal":"17:29","solarNoonLocal":"12:22","dayLengthHours":10.260004586931352,"dayLengthDisplay":"10 Hours 15 Mins 36 Secs","nightLengthDisplay":"13 Hours 44 Mins 24 Secs","moonriseLocal":"22:37","moonsetLocal":"11:01","rahuKala":{"name":"Rāhu Kāla","start":"14:55","end":"16:12","startHours":14.923651493910477,"endHours":16.206152067276893,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:48","end":"11:05","startHours":9.7936492004448,"endHours":11.076149773811219,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:22","end":"13:38","startHours":12.358650347177637,"endHours":13.641150920544057,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.622649123995943,"endHours":9.964649276893656,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:56","startHours":7.656148244834101,"endHours":7.92974836715227,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:42","startHours":12.016650194279926,"endHours":12.700650500075348,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:52","end":"06:33","startHours":5.860647442121115,"endHours":6.544647747916538,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:14","startHours":6.373647671467682,"endHours":7.228648053711962,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:45","startHours":14.068651111666195,"endHours":14.75265141746162,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.288652640643313,"endHours":17.688652640643312,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:55","startHours":17.488652640643313,"endHours":17.91615283176545,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.238652640643313,"endHours":18.988652640643313,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:42","startHours":24.016650194279926,"endHours":24.700650500075348,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:14","end":"08:31","startHours":7.228648053711962,"endHours":8.51114862707838,"quality":"inauspicious"},{"name":"Udveg","start":"08:31","end":"09:48","startHours":8.51114862707838,"endHours":9.7936492004448,"quality":"inauspicious"},{"name":"Chala","start":"09:48","end":"11:05","startHours":9.7936492004448,"endHours":11.076149773811219,"quality":"neutral"},{"name":"Labha","start":"11:05","end":"12:22","startHours":11.076149773811219,"endHours":12.358650347177637,"quality":"auspicious"},{"name":"Amṛta","start":"12:22","end":"13:38","startHours":12.358650347177637,"endHours":13.641150920544057,"quality":"auspicious"},{"name":"Kāla","start":"13:38","end":"14:55","startHours":13.641150920544057,"endHours":14.923651493910477,"quality":"inauspicious"},{"name":"Śubha","start":"14:55","end":"16:12","startHours":14.923651493910477,"endHours":16.206152067276893,"quality":"auspicious"},{"name":"Roga","start":"16:12","end":"17:29","startHours":16.206152067276893,"endHours":17.488652640643313,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:29","end":"19:12","startHours":17.488652640643313,"endHours":19.206152067276893,"quality":"inauspicious"},{"name":"Śubha","start":"19:12","end":"20:55","startHours":19.206152067276893,"endHours":20.923651493910477,"quality":"auspicious"},{"name":"Roga","start":"20:55","end":"22:38","startHours":20.923651493910477,"endHours":22.641150920544057,"quality":"inauspicious"},{"name":"Udveg","start":"22:38","end":"00:22","startHours":22.641150920544057,"endHours":24.358650347177637,"quality":"inauspicious"},{"name":"Chala","start":"00:22","end":"02:05","startHours":24.358650347177637,"endHours":26.076149773811217,"quality":"neutral"},{"name":"Labha","start":"02:05","end":"03:48","startHours":26.076149773811217,"endHours":27.793649200444797,"quality":"auspicious"},{"name":"Amṛta","start":"03:48","end":"05:31","startHours":27.793649200444797,"endHours":29.51114862707838,"quality":"auspicious"},{"name":"Kāla","start":"05:31","end":"07:14","startHours":29.51114862707838,"endHours":31.22864805371196,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.228648053711962,"endHours":8.22864805371196,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.22864805371196,"endHours":9.22864805371196,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.22864805371196,"endHours":10.22864805371196,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.22864805371196,"endHours":11.22864805371196,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.22864805371196,"endHours":12.22864805371196,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.22864805371196,"endHours":13.22864805371196,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.22864805371196,"endHours":14.22864805371196,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.22864805371196,"endHours":15.22864805371196,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.22864805371196,"endHours":16.22864805371196,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.22864805371196,"endHours":17.22864805371196,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.22864805371196,"endHours":18.22864805371196,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.22864805371196,"endHours":19.22864805371196,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.22864805371196,"endHours":20.22864805371196,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.22864805371196,"endHours":21.22864805371196,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.22864805371196,"endHours":22.22864805371196,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.22864805371196,"endHours":23.22864805371196,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.22864805371196,"endHours":24.22864805371196,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.22864805371196,"endHours":25.22864805371196,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.22864805371196,"endHours":26.22864805371196,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.22864805371196,"endHours":27.22864805371196,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.22864805371196,"endHours":28.22864805371196,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.22864805371196,"endHours":29.22864805371196,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.22864805371196,"endHours":30.22864805371196,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.22864805371196,"endHours":31.22864805371196,"planetary_lord":"Saturn"}],"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":"North (Uttara)","chandraVasa":"West","rahuVasa":"North","anandadiYoga":{"name":"Siddhi","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":-22.84079830602787,"eotMinutes":-4.589420830658165,"ayanamsa":24.5655}},"calendars":{"vikram_samvat":2108,"vikram_samvatsara":"Tāraṇa","saka_samvat":1973,"saka_samvatsara":"Prajāpati","bengali_samvat":1458,"malayalam_era":1227,"nanakshahi_year":582,"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 2108 Tāraṇa · Śaka 1973 Prajāpati"},"festivals":[],"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":"rishikesh"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 3, 2051 CE · Ṛṣikeśa · Vidhyamitra","description":"January 3, 2051 CE for Ṛṣikeśa: Kṛṣṇa Ṣaṣṭhī, sūryodaya 07:14, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2051-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2051-01-03","sa":"https://sa.vidhyamitra.com/city/rishikesh/2051-01-03","hi":"https://hi.vidhyamitra.com/city/rishikesh/2051-01-03","x-default":"https://vidhyamitra.com/city/rishikesh/2051-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T23:40:35.253Z","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":"2026-05-31T23:40:35.253Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T23:40:35.253Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}