{"id":"vidhyamitra:city-day:rishikesh:2158-12-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2158-12-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2158-12-04","date_display":"December 4, 2158 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":2158,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509590.770833,"kali_year":5260,"ahargana":1921125.2708,"sun":{"sidereal_longitude":224.9076,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":20.2947,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":155.3871,"elapsed_within_tithi_degrees":11.3871},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":20.2947,"elapsed_within_degrees":6.9614},"yoga":{"number":19,"name":"Parigha","sum_longitude":245.2023},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2158,"month":12,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509590.770833,"ahargana":1921125.2708,"kali_year":5260,"ayanamsa_lahiri":26.073,"grahas":{"sun":{"sidereal_longitude":225.78383499999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":20.001935000000003,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false,"latitude":4.2074},"mars":{"sidereal_longitude":172.08223499999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":212.473435,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":161.81323499999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"venus":{"sidereal_longitude":244.13483500000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":177.59813499999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":269.538,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":89.538,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"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":2158,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509590.770833,"kali_year":5260,"ahargana":1921125.2708,"sun":{"sidereal_longitude":224.9076,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":20.2947,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":155.3871,"elapsed_within_tithi_degrees":11.3871},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":20.2947,"elapsed_within_degrees":6.9614},"yoga":{"number":19,"name":"Parigha","sum_longitude":245.2023},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.207,"elongation":155.387},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.207,"opposition_distance":24.613}},"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":10.318180769669645,"dayLengthDisplay":"10 Hours 19 Mins 05 Secs","nightLengthDisplay":"13 Hours 40 Mins 55 Secs","moonriseLocal":"15:42","moonsetLocal":"05:08","rahuKala":{"name":"Rāhu Kāla","start":"08:16","end":"09:33","startHours":8.263495135805499,"endHours":9.553267732014206,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:51","end":"12:08","startHours":10.84304032822291,"endHours":12.132812924431615,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:25","end":"14:43","startHours":13.422585520640322,"endHours":14.712358116849028,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:23","end":"09:44","startHours":9.38129805251971,"endHours":9.725237411508699,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:24","end":"07:41","startHours":7.403646738333029,"endHours":7.678798225524219,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:29","startHours":11.788873565442627,"endHours":12.476752283420604,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:36","end":"06:17","startHours":5.59796510364084,"endHours":6.285843821618817,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:07","end":"06:58","startHours":6.113874142124323,"endHours":6.9737225395967934,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:51","end":"14:32","startHours":13.852509719376556,"endHours":14.540388437354533,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:06","end":"17:30","startHours":17.09190330926644,"endHours":17.491903309266437,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:18","end":"17:43","startHours":17.291903309266438,"endHours":17.721827508002672,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:03","end":"18:48","startHours":17.041903309266438,"endHours":18.791903309266438,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:29","startHours":23.78887356544263,"endHours":24.476752283420602,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:58","end":"08:16","startHours":6.9737225395967934,"endHours":8.263495135805499,"quality":"auspicious"},{"name":"Kāla","start":"08:16","end":"09:33","startHours":8.263495135805499,"endHours":9.553267732014206,"quality":"inauspicious"},{"name":"Śubha","start":"09:33","end":"10:51","startHours":9.553267732014206,"endHours":10.84304032822291,"quality":"auspicious"},{"name":"Roga","start":"10:51","end":"12:08","startHours":10.84304032822291,"endHours":12.132812924431615,"quality":"inauspicious"},{"name":"Udveg","start":"12:08","end":"13:25","startHours":12.132812924431615,"endHours":13.422585520640322,"quality":"inauspicious"},{"name":"Chala","start":"13:25","end":"14:43","startHours":13.422585520640322,"endHours":14.712358116849028,"quality":"neutral"},{"name":"Labha","start":"14:43","end":"16:00","startHours":14.712358116849028,"endHours":16.00213071305773,"quality":"auspicious"},{"name":"Amṛta","start":"16:00","end":"17:18","startHours":16.00213071305773,"endHours":17.291903309266438,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:18","end":"19:00","startHours":17.291903309266438,"endHours":19.00213071305773,"quality":"neutral"},{"name":"Labha","start":"19:00","end":"20:43","startHours":19.00213071305773,"endHours":20.712358116849025,"quality":"auspicious"},{"name":"Amṛta","start":"20:43","end":"22:25","startHours":20.712358116849025,"endHours":22.42258552064032,"quality":"auspicious"},{"name":"Kāla","start":"22:25","end":"00:08","startHours":22.42258552064032,"endHours":24.132812924431615,"quality":"inauspicious"},{"name":"Śubha","start":"00:08","end":"01:51","startHours":24.132812924431615,"endHours":25.84304032822291,"quality":"auspicious"},{"name":"Roga","start":"01:51","end":"03:33","startHours":25.84304032822291,"endHours":27.553267732014206,"quality":"inauspicious"},{"name":"Udveg","start":"03:33","end":"05:16","startHours":27.553267732014206,"endHours":29.2634951358055,"quality":"inauspicious"},{"name":"Chala","start":"05:16","end":"06:58","startHours":29.2634951358055,"endHours":30.973722539596793,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:58","end":"07:58","startHours":6.9737225395967934,"endHours":7.9737225395967934,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:58","end":"08:58","startHours":7.9737225395967934,"endHours":8.973722539596793,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:58","end":"09:58","startHours":8.973722539596793,"endHours":9.973722539596793,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:58","end":"10:58","startHours":9.973722539596793,"endHours":10.973722539596793,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:58","end":"11:58","startHours":10.973722539596793,"endHours":11.973722539596793,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:58","end":"12:58","startHours":11.973722539596793,"endHours":12.973722539596793,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:58","end":"13:58","startHours":12.973722539596793,"endHours":13.973722539596793,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:58","end":"14:58","startHours":13.973722539596793,"endHours":14.973722539596793,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:58","end":"15:58","startHours":14.973722539596793,"endHours":15.973722539596793,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:58","end":"16:58","startHours":15.973722539596793,"endHours":16.973722539596793,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:58","end":"17:58","startHours":16.973722539596793,"endHours":17.973722539596793,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:58","end":"18:58","startHours":17.973722539596793,"endHours":18.973722539596793,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:58","end":"19:58","startHours":18.973722539596793,"endHours":19.973722539596793,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:58","end":"20:58","startHours":19.973722539596793,"endHours":20.973722539596793,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:58","end":"21:58","startHours":20.973722539596793,"endHours":21.973722539596793,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:58","end":"22:58","startHours":21.973722539596793,"endHours":22.973722539596793,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:58","end":"23:58","startHours":22.973722539596793,"endHours":23.973722539596793,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:58","end":"00:58","startHours":23.973722539596793,"endHours":24.973722539596793,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:58","end":"01:58","startHours":24.973722539596793,"endHours":25.973722539596793,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:58","end":"02:58","startHours":25.973722539596793,"endHours":26.973722539596793,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:58","end":"03:58","startHours":26.973722539596793,"endHours":27.973722539596793,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:58","end":"04:58","startHours":27.973722539596793,"endHours":28.973722539596793,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:58","end":"05:58","startHours":28.973722539596793,"endHours":29.973722539596793,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:58","end":"06:58","startHours":29.973722539596793,"endHours":30.973722539596793,"planetary_lord":"Venus"}],"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":"North-East","anandadiYoga":{"name":"Dhvānkṣa","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":-22.20723903262472,"eotMinutes":8.960824534103129,"ayanamsa":26.073}},"calendars":{"vikram_samvat":2215,"vikram_samvatsara":"Prajāpati","saka_samvat":2080,"saka_samvatsara":"Kālayukta","bengali_samvat":1565,"malayalam_era":1334,"nanakshahi_year":689,"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 2215 Prajāpati · Śaka 2080 Kālayukta"},"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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, 2158 CE · Ṛṣikeśa · Vidhyamitra","description":"December 4, 2158 CE for Ṛṣikeśa: Śukla Trayodaśī, sūryodaya 06:58, sūryāsta 17:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2158-12-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2158-12-04","sa":"https://sa.vidhyamitra.com/city/rishikesh/2158-12-04","hi":"https://hi.vidhyamitra.com/city/rishikesh/2158-12-04","x-default":"https://vidhyamitra.com/city/rishikesh/2158-12-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T04:18:13.539Z","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":"2026-06-01T04:18:13.539Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T04:18:13.539Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}