{"id":"vidhyamitra:city-day:rishikesh:2091-12-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2091-12-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2091-12-04","date_display":"December 4, 2091 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":2091,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2485119.770833,"kali_year":5193,"ahargana":1896654.2708,"sun":{"sidereal_longitude":226.2732,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":140.787,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":274.5138,"elapsed_within_tithi_degrees":10.5138},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":140.787,"elapsed_within_degrees":7.4537},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":7.0602},"karana":{"half_tithi_index":45,"name":"Kaulava"},"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":2091,"month":12,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2485119.770833,"ahargana":1896654.2708,"kali_year":5193,"ayanamsa_lahiri":25.1371,"grahas":{"sun":{"sidereal_longitude":226.97900700000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":138.09560699999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false,"latitude":1.1376},"mars":{"sidereal_longitude":257.36830699999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":205.29830700000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":266.67320700000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":259.071107,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":72.03830700000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":126.1294,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":306.1294,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":2091,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2485119.770833,"kali_year":5193,"ahargana":1896654.2708,"sun":{"sidereal_longitude":226.2732,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":140.787,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":274.5138,"elapsed_within_tithi_degrees":10.5138},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":140.787,"elapsed_within_degrees":7.4537},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":7.0602},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.138,"elongation":85.486},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.138,"opposition_distance":94.514}},"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":10.315033320170983,"dayLengthDisplay":"10 Hours 18 Mins 54 Secs","nightLengthDisplay":"13 Hours 41 Mins 06 Secs","moonriseLocal":"23:54","moonsetLocal":"12:31","rahuKala":{"name":"Rāhu Kāla","start":"14:43","end":"16:00","startHours":14.71157125447436,"endHours":16.000950419495734,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:33","end":"10:51","startHours":9.55405459438887,"endHours":10.843433759410242,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:08","end":"13:25","startHours":12.132812924431615,"endHours":13.422192089452988,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:23","end":"09:44","startHours":9.382137372386019,"endHours":9.725971816391718,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:24","end":"07:41","startHours":7.405089319353247,"endHours":7.680156874557807,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:29","startHours":11.788978480425916,"endHours":12.476647368437314,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:36","end":"06:17","startHours":5.599958488323326,"endHours":6.287627376334724,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:07","end":"06:59","startHours":6.115710154331874,"endHours":6.975296264346123,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:51","end":"14:32","startHours":13.851985144460112,"endHours":14.53965403247151,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:05","end":"17:29","startHours":17.090329584517107,"endHours":17.490329584517106,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:17","end":"17:43","startHours":17.290329584517107,"endHours":17.72012263952423,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:02","end":"18:47","startHours":17.040329584517107,"endHours":18.790329584517107,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:29","startHours":23.788978480425914,"endHours":24.476647368437316,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:59","end":"08:16","startHours":6.975296264346123,"endHours":8.264675429367497,"quality":"inauspicious"},{"name":"Udveg","start":"08:16","end":"09:33","startHours":8.264675429367497,"endHours":9.55405459438887,"quality":"inauspicious"},{"name":"Chala","start":"09:33","end":"10:51","startHours":9.55405459438887,"endHours":10.843433759410242,"quality":"neutral"},{"name":"Labha","start":"10:51","end":"12:08","startHours":10.843433759410242,"endHours":12.132812924431615,"quality":"auspicious"},{"name":"Amṛta","start":"12:08","end":"13:25","startHours":12.132812924431615,"endHours":13.422192089452988,"quality":"auspicious"},{"name":"Kāla","start":"13:25","end":"14:43","startHours":13.422192089452988,"endHours":14.71157125447436,"quality":"inauspicious"},{"name":"Śubha","start":"14:43","end":"16:00","startHours":14.71157125447436,"endHours":16.000950419495734,"quality":"auspicious"},{"name":"Roga","start":"16:00","end":"17:17","startHours":16.000950419495734,"endHours":17.290329584517107,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:17","end":"19:00","startHours":17.290329584517107,"endHours":19.000950419495734,"quality":"inauspicious"},{"name":"Śubha","start":"19:00","end":"20:43","startHours":19.000950419495734,"endHours":20.71157125447436,"quality":"auspicious"},{"name":"Roga","start":"20:43","end":"22:25","startHours":20.71157125447436,"endHours":22.422192089452988,"quality":"inauspicious"},{"name":"Udveg","start":"22:25","end":"00:08","startHours":22.422192089452988,"endHours":24.132812924431615,"quality":"inauspicious"},{"name":"Chala","start":"00:08","end":"01:51","startHours":24.132812924431615,"endHours":25.843433759410242,"quality":"neutral"},{"name":"Labha","start":"01:51","end":"03:33","startHours":25.843433759410242,"endHours":27.55405459438887,"quality":"auspicious"},{"name":"Amṛta","start":"03:33","end":"05:16","startHours":27.55405459438887,"endHours":29.264675429367497,"quality":"auspicious"},{"name":"Kāla","start":"05:16","end":"06:59","startHours":29.264675429367497,"endHours":30.975296264346124,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:59","end":"07:59","startHours":6.975296264346123,"endHours":7.975296264346123,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:59","end":"08:59","startHours":7.975296264346123,"endHours":8.975296264346124,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:59","end":"09:59","startHours":8.975296264346124,"endHours":9.975296264346124,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:59","end":"10:59","startHours":9.975296264346124,"endHours":10.975296264346124,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:59","end":"11:59","startHours":10.975296264346124,"endHours":11.975296264346124,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:59","end":"12:59","startHours":11.975296264346124,"endHours":12.975296264346124,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:59","end":"13:59","startHours":12.975296264346124,"endHours":13.975296264346124,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:59","end":"14:59","startHours":13.975296264346124,"endHours":14.975296264346124,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:59","end":"15:59","startHours":14.975296264346124,"endHours":15.975296264346124,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:59","end":"16:59","startHours":15.975296264346124,"endHours":16.975296264346124,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:59","end":"17:59","startHours":16.975296264346124,"endHours":17.975296264346124,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:59","end":"18:59","startHours":17.975296264346124,"endHours":18.975296264346124,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:59","end":"19:59","startHours":18.975296264346124,"endHours":19.975296264346124,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:59","end":"20:59","startHours":19.975296264346124,"endHours":20.975296264346124,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:59","end":"21:59","startHours":20.975296264346124,"endHours":21.975296264346124,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:59","end":"22:59","startHours":21.975296264346124,"endHours":22.975296264346124,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:59","end":"23:59","startHours":22.975296264346124,"endHours":23.975296264346124,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:59","end":"00:59","startHours":23.975296264346124,"endHours":24.975296264346124,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:59","end":"01:59","startHours":24.975296264346124,"endHours":25.975296264346124,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:59","end":"02:59","startHours":25.975296264346124,"endHours":26.975296264346124,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:59","end":"03:59","startHours":26.975296264346124,"endHours":27.975296264346124,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:59","end":"04:59","startHours":27.975296264346124,"endHours":28.975296264346124,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:59","end":"05:59","startHours":28.975296264346124,"endHours":29.975296264346124,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:59","end":"06:59","startHours":29.975296264346124,"endHours":30.975296264346124,"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"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-22.24168747349565,"eotMinutes":8.960824534103129,"ayanamsa":25.1371}},"calendars":{"vikram_samvat":2148,"vikram_samvatsara":"Raktākṣī","saka_samvat":2013,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1498,"malayalam_era":1267,"nanakshahi_year":622,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Aṣṭamī · Vikram 2148 Raktākṣī · Śaka 2013 Virodhakṛt"},"festivals":[{"id":"kalabhairava-ashtami","name":"Kālabhairava Aṣṭamī","name_sanskrit":"कालभैरव अष्टमी","tradition":"Shaiva","associated_deity":"Kālabhairava (fierce Śiva)","significance":"Kālabhairava's manifestation; Kāśī-kṣetrapāla.","vrata":true,"detection":{"tithi_number":23,"tithi_paksha":"Kṛṣṇa","lunar_month":"Mārgaśīrṣa"},"precedence":3},{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"precedence":5}],"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":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","relevance":0.5}]},"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, 2091 CE · Ṛṣikeśa · Vidhyamitra","description":"December 4, 2091 CE for Ṛṣikeśa: Kṛṣṇa Aṣṭamī, sūryodaya 06:59, sūryāsta 17:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2091-12-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2091-12-04","sa":"https://sa.vidhyamitra.com/city/rishikesh/2091-12-04","hi":"https://hi.vidhyamitra.com/city/rishikesh/2091-12-04","x-default":"https://vidhyamitra.com/city/rishikesh/2091-12-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-19T21:29:13.567Z","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":"2026-05-19T21:29:13.567Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-19T21:29:13.567Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}