{"id":"vidhyamitra:city-day:rishikesh:2081-12-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2081-12-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2081-12-04","date_display":"December 4, 2081 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":2081,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2481467.770833,"kali_year":5183,"ahargana":1893002.2708,"sun":{"sidereal_longitude":226.8738,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":270.6673,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":43.7936,"elapsed_within_tithi_degrees":7.7936},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":270.6673,"elapsed_within_degrees":4.0006},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":137.5411},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"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":2081,"month":12,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2481467.770833,"ahargana":1893002.2708,"kali_year":5183,"ayanamsa_lahiri":24.9974,"grahas":{"sun":{"sidereal_longitude":227.55154100000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":270.2051409999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false,"latitude":-3.3928},"mars":{"sidereal_longitude":187.04364099999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":238.34374100000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":323.1362409999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":222.65304100000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":296.516841,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":319.6299,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":139.6299,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":2081,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2481467.770833,"kali_year":5183,"ahargana":1893002.2708,"sun":{"sidereal_longitude":226.8738,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":270.6673,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":43.7936,"elapsed_within_tithi_degrees":7.7936},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":270.6673,"elapsed_within_degrees":4.0006},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":137.5411},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.393,"elongation":43.794},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.393,"opposition_distance":136.206}},"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":"06:59","sunsetLocal":"17:17","solarNoonLocal":"12:08","dayLengthHours":10.3098710579879,"dayLengthDisplay":"10 Hours 18 Mins 36 Secs","nightLengthDisplay":"13 Hours 41 Mins 24 Secs","moonriseLocal":"09:47","moonsetLocal":"20:10","rahuKala":{"name":"Rāhu Kāla","start":"13:25","end":"14:43","startHours":13.421546806680102,"endHours":14.71028068892859,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:59","end":"08:16","startHours":6.977877395437664,"endHours":8.266611277686152,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:33","end":"10:51","startHours":9.555345159934639,"endHours":10.844079042183127,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:23","end":"09:44","startHours":9.383513975634841,"endHours":9.727176344234437,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:24","end":"07:41","startHours":7.40745535618716,"endHours":7.682385251066838,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:29","startHours":11.789150555832018,"endHours":12.476475293031212,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:36","end":"06:17","startHours":5.603227921039277,"endHours":6.290552658238471,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:07","end":"06:59","startHours":6.118721473938672,"endHours":6.977877395437664,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:51","end":"14:32","startHours":13.851124767429598,"endHours":14.53844950462879,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:05","end":"17:29","startHours":17.087748453425565,"endHours":17.487748453425564,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:17","end":"17:43","startHours":17.287748453425564,"endHours":17.71732641417506,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:02","end":"18:47","startHours":17.037748453425564,"endHours":18.787748453425564,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:29","startHours":23.78915055583202,"endHours":24.47647529303121,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:59","end":"08:16","startHours":6.977877395437664,"endHours":8.266611277686152,"quality":"auspicious"},{"name":"Roga","start":"08:16","end":"09:33","startHours":8.266611277686152,"endHours":9.555345159934639,"quality":"inauspicious"},{"name":"Udveg","start":"09:33","end":"10:51","startHours":9.555345159934639,"endHours":10.844079042183127,"quality":"inauspicious"},{"name":"Chala","start":"10:51","end":"12:08","startHours":10.844079042183127,"endHours":12.132812924431615,"quality":"neutral"},{"name":"Labha","start":"12:08","end":"13:25","startHours":12.132812924431615,"endHours":13.421546806680102,"quality":"auspicious"},{"name":"Amṛta","start":"13:25","end":"14:43","startHours":13.421546806680102,"endHours":14.71028068892859,"quality":"auspicious"},{"name":"Kāla","start":"14:43","end":"16:00","startHours":14.71028068892859,"endHours":15.999014571177076,"quality":"inauspicious"},{"name":"Śubha","start":"16:00","end":"17:17","startHours":15.999014571177076,"endHours":17.287748453425564,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:17","end":"19:00","startHours":17.287748453425564,"endHours":18.999014571177078,"quality":"auspicious"},{"name":"Kāla","start":"19:00","end":"20:43","startHours":18.999014571177078,"endHours":20.710280688928588,"quality":"inauspicious"},{"name":"Śubha","start":"20:43","end":"22:25","startHours":20.710280688928588,"endHours":22.4215468066801,"quality":"auspicious"},{"name":"Roga","start":"22:25","end":"00:08","startHours":22.4215468066801,"endHours":24.132812924431615,"quality":"inauspicious"},{"name":"Udveg","start":"00:08","end":"01:51","startHours":24.132812924431615,"endHours":25.844079042183125,"quality":"inauspicious"},{"name":"Chala","start":"01:51","end":"03:33","startHours":25.844079042183125,"endHours":27.55534515993464,"quality":"neutral"},{"name":"Labha","start":"03:33","end":"05:16","startHours":27.55534515993464,"endHours":29.266611277686152,"quality":"auspicious"},{"name":"Amṛta","start":"05:16","end":"06:59","startHours":29.266611277686152,"endHours":30.977877395437666,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:59","end":"07:59","startHours":6.977877395437664,"endHours":7.977877395437664,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:59","end":"08:59","startHours":7.977877395437664,"endHours":8.977877395437664,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:59","end":"09:59","startHours":8.977877395437664,"endHours":9.977877395437664,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:59","end":"10:59","startHours":9.977877395437664,"endHours":10.977877395437664,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:59","end":"11:59","startHours":10.977877395437664,"endHours":11.977877395437664,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:59","end":"12:59","startHours":11.977877395437664,"endHours":12.977877395437664,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:59","end":"13:59","startHours":12.977877395437664,"endHours":13.977877395437664,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:59","end":"14:59","startHours":13.977877395437664,"endHours":14.977877395437664,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:59","end":"15:59","startHours":14.977877395437664,"endHours":15.977877395437664,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:59","end":"16:59","startHours":15.977877395437664,"endHours":16.977877395437666,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:59","end":"17:59","startHours":16.977877395437666,"endHours":17.977877395437666,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:59","end":"18:59","startHours":17.977877395437666,"endHours":18.977877395437666,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:59","end":"19:59","startHours":18.977877395437666,"endHours":19.977877395437666,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:59","end":"20:59","startHours":19.977877395437666,"endHours":20.977877395437666,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:59","end":"21:59","startHours":20.977877395437666,"endHours":21.977877395437666,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:59","end":"22:59","startHours":21.977877395437666,"endHours":22.977877395437666,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:59","end":"23:59","startHours":22.977877395437666,"endHours":23.977877395437666,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:59","end":"00:59","startHours":23.977877395437666,"endHours":24.977877395437666,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:59","end":"01:59","startHours":24.977877395437666,"endHours":25.977877395437666,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:59","end":"02:59","startHours":25.977877395437666,"endHours":26.977877395437666,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:59","end":"03:59","startHours":26.977877395437666,"endHours":27.977877395437666,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:59","end":"04:59","startHours":27.977877395437666,"endHours":28.977877395437666,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:59","end":"05:59","startHours":28.977877395437666,"endHours":29.977877395437666,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:59","end":"06:59","startHours":29.977877395437666,"endHours":30.977877395437666,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Vajra","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":-22.298145453275982,"eotMinutes":8.960824534103129,"ayanamsa":24.9974}},"calendars":{"vikram_samvat":2138,"vikram_samvatsara":"Ānanda","saka_samvat":2003,"saka_samvatsara":"Plava","bengali_samvat":1488,"malayalam_era":1257,"nanakshahi_year":612,"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 Caturthī · Vikram 2138 Ānanda · Śaka 2003 Plava"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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, 2081 CE · Ṛṣikeśa · Vidhyamitra","description":"December 4, 2081 CE for Ṛṣikeśa: Śukla Caturthī, sūryodaya 06:59, sūryāsta 17:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2081-12-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2081-12-04","sa":"https://sa.vidhyamitra.com/city/rishikesh/2081-12-04","hi":"https://hi.vidhyamitra.com/city/rishikesh/2081-12-04","x-default":"https://vidhyamitra.com/city/rishikesh/2081-12-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T13:11:02.242Z","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":"2026-06-01T13:11:02.242Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T13:11:02.242Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}