{"id":"vidhyamitra:city-day:rishikesh:2101-12-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2101-12-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2101-12-03","date_display":"December 3, 2101 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":2101,"month":12,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488770.770833,"kali_year":5203,"ahargana":1900305.2708,"sun":{"sidereal_longitude":224.6513,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":14.8677,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":150.2163,"elapsed_within_tithi_degrees":6.2163},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1,"moon_longitude":14.8677,"elapsed_within_degrees":1.5343},"yoga":{"number":18,"name":"Varīyān","sum_longitude":239.519},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2101,"month":12,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488770.770833,"ahargana":1900305.2708,"kali_year":5203,"ayanamsa_lahiri":25.2767,"grahas":{"sun":{"sidereal_longitude":225.39381200000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":16.249911999999995,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false,"latitude":4.4581},"mars":{"sidereal_longitude":55.96701200000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":237.76911199999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":219.461412,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":243.839112,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":true},"saturn":{"sidereal_longitude":198.32661199999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":292.6818,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":112.6818,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2101,"month":12,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488770.770833,"kali_year":5203,"ahargana":1900305.2708,"sun":{"sidereal_longitude":224.6513,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":14.8677,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":150.2163,"elapsed_within_tithi_degrees":6.2163},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1,"moon_longitude":14.8677,"elapsed_within_degrees":1.5343},"yoga":{"number":18,"name":"Varīyān","sum_longitude":239.519},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.458,"elongation":150.216},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.458,"opposition_distance":29.784}},"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":"06:58","sunsetLocal":"17:18","solarNoonLocal":"12:08","dayLengthHours":10.333104695292535,"dayLengthDisplay":"10 Hours 19 Mins 59 Secs","nightLengthDisplay":"13 Hours 40 Mins 01 Secs","moonriseLocal":"15:32","moonsetLocal":"04:50","rahuKala":{"name":"Rāhu Kāla","start":"09:33","end":"10:50","startHours":9.542903377332566,"endHours":10.834541464244133,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:25","end":"14:43","startHours":13.417817638067266,"endHours":14.709455724978834,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:58","end":"08:15","startHours":6.959627203509433,"endHours":8.251265290421,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:22","end":"09:43","startHours":9.370684965744358,"endHours":9.715121788920776,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:23","end":"07:40","startHours":7.390173232479955,"endHours":7.66572269102109,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:28","startHours":11.781742727979283,"endHours":12.470616374332119,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:35","end":"06:16","startHours":5.581879910803761,"endHours":6.270753557156597,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:06","end":"06:58","startHours":6.098535145568388,"endHours":6.959627203509433,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:51","end":"14:32","startHours":13.84836366703779,"endHours":14.537237313390625,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:06","end":"17:30","startHours":17.09273189880197,"endHours":17.492731898801967,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:18","end":"17:43","startHours":17.292731898801968,"endHours":17.72327792777249,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:03","end":"18:48","startHours":17.042731898801968,"endHours":18.792731898801968,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:28","startHours":23.78174272797928,"endHours":24.47061637433212,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:58","end":"08:15","startHours":6.959627203509433,"endHours":8.251265290421,"quality":"inauspicious"},{"name":"Śubha","start":"08:15","end":"09:33","startHours":8.251265290421,"endHours":9.542903377332566,"quality":"auspicious"},{"name":"Roga","start":"09:33","end":"10:50","startHours":9.542903377332566,"endHours":10.834541464244133,"quality":"inauspicious"},{"name":"Udveg","start":"10:50","end":"12:08","startHours":10.834541464244133,"endHours":12.126179551155701,"quality":"inauspicious"},{"name":"Chala","start":"12:08","end":"13:25","startHours":12.126179551155701,"endHours":13.417817638067266,"quality":"neutral"},{"name":"Labha","start":"13:25","end":"14:43","startHours":13.417817638067266,"endHours":14.709455724978834,"quality":"auspicious"},{"name":"Amṛta","start":"14:43","end":"16:00","startHours":14.709455724978834,"endHours":16.0010938118904,"quality":"auspicious"},{"name":"Kāla","start":"16:00","end":"17:18","startHours":16.0010938118904,"endHours":17.292731898801968,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:18","end":"19:00","startHours":17.292731898801968,"endHours":19.0010938118904,"quality":"auspicious"},{"name":"Amṛta","start":"19:00","end":"20:43","startHours":19.0010938118904,"endHours":20.709455724978834,"quality":"auspicious"},{"name":"Kāla","start":"20:43","end":"22:25","startHours":20.709455724978834,"endHours":22.417817638067266,"quality":"inauspicious"},{"name":"Śubha","start":"22:25","end":"00:08","startHours":22.417817638067266,"endHours":24.1261795511557,"quality":"auspicious"},{"name":"Roga","start":"00:08","end":"01:50","startHours":24.1261795511557,"endHours":25.834541464244133,"quality":"inauspicious"},{"name":"Udveg","start":"01:50","end":"03:33","startHours":25.834541464244133,"endHours":27.542903377332564,"quality":"inauspicious"},{"name":"Chala","start":"03:33","end":"05:15","startHours":27.542903377332564,"endHours":29.251265290421,"quality":"neutral"},{"name":"Labha","start":"05:15","end":"06:58","startHours":29.251265290421,"endHours":30.959627203509434,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:58","end":"07:58","startHours":6.959627203509433,"endHours":7.959627203509433,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:58","end":"08:58","startHours":7.959627203509433,"endHours":8.959627203509433,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:58","end":"09:58","startHours":8.959627203509433,"endHours":9.959627203509433,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:58","end":"10:58","startHours":9.959627203509433,"endHours":10.959627203509433,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:58","end":"11:58","startHours":10.959627203509433,"endHours":11.959627203509433,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:58","end":"12:58","startHours":11.959627203509433,"endHours":12.959627203509433,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:58","end":"13:58","startHours":12.959627203509433,"endHours":13.959627203509433,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:58","end":"14:58","startHours":13.959627203509433,"endHours":14.959627203509433,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:58","end":"15:58","startHours":14.959627203509433,"endHours":15.959627203509433,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:58","end":"16:58","startHours":15.959627203509433,"endHours":16.959627203509434,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:58","end":"17:58","startHours":16.959627203509434,"endHours":17.959627203509434,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:58","end":"18:58","startHours":17.959627203509434,"endHours":18.959627203509434,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:58","end":"19:58","startHours":18.959627203509434,"endHours":19.959627203509434,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:58","end":"20:58","startHours":19.959627203509434,"endHours":20.959627203509434,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:58","end":"21:58","startHours":20.959627203509434,"endHours":21.959627203509434,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:58","end":"22:58","startHours":21.959627203509434,"endHours":22.959627203509434,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:58","end":"23:58","startHours":22.959627203509434,"endHours":23.959627203509434,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:58","end":"00:58","startHours":23.959627203509434,"endHours":24.959627203509434,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:58","end":"01:58","startHours":24.959627203509434,"endHours":25.959627203509434,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:58","end":"02:58","startHours":25.959627203509434,"endHours":26.959627203509434,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:58","end":"03:58","startHours":26.959627203509434,"endHours":27.959627203509434,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:58","end":"04:58","startHours":27.959627203509434,"endHours":28.959627203509434,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:58","end":"05:58","startHours":28.959627203509434,"endHours":29.959627203509434,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:58","end":"06:58","startHours":29.959627203509434,"endHours":30.959627203509434,"planetary_lord":"Mercury"}],"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":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.04363288224593,"eotMinutes":9.35882693065794,"ayanamsa":25.2767}},"calendars":{"vikram_samvat":2158,"vikram_samvatsara":"Bhāva","saka_samvat":2023,"saka_samvatsara":"Durmati","bengali_samvat":1508,"malayalam_era":1277,"nanakshahi_year":632,"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 2158 Bhāva · Śaka 2023 Durmati"},"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":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 3, 2101 CE · Ṛṣikeśa · Vidhyamitra","description":"December 3, 2101 CE for Ṛṣikeśa: Śukla Trayodaśī, sūryodaya 06:58, sūryāsta 17:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2101-12-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2101-12-03","sa":"https://sa.vidhyamitra.com/city/rishikesh/2101-12-03","hi":"https://hi.vidhyamitra.com/city/rishikesh/2101-12-03","x-default":"https://vidhyamitra.com/city/rishikesh/2101-12-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T00:32:14.018Z","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":"2026-05-31T00:32:14.019Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T00:32:14.019Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}