{"id":"vidhyamitra:city-day:rishikesh:2045-12-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2045-12-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-12-04","date_display":"December 4, 2045 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":2045,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468318.770833,"kali_year":5147,"ahargana":1879853.2708,"sun":{"sidereal_longitude":227.196,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":171.8276,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":304.6315,"elapsed_within_tithi_degrees":4.6315},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":171.8276,"elapsed_within_degrees":11.8276},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":39.0236},"karana":{"half_tithi_index":50,"name":"Bava"},"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":2045,"month":12,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468318.770833,"ahargana":1879853.2708,"kali_year":5147,"ayanamsa_lahiri":24.4945,"grahas":{"sun":{"sidereal_longitude":227.78522900000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":172.034629,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false,"latitude":-3.7074},"mars":{"sidereal_longitude":156.64322900000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":206.77222900000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":310.231129,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":262.69742900000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":228.65792899999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":296.3272,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":116.3272,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2045,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468318.770833,"kali_year":5147,"ahargana":1879853.2708,"sun":{"sidereal_longitude":227.196,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":171.8276,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":304.6315,"elapsed_within_tithi_degrees":4.6315},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":171.8276,"elapsed_within_degrees":11.8276},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":39.0236},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.707,"elongation":55.368},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.707,"opposition_distance":124.632}},"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":10.313068277302202,"dayLengthDisplay":"10 Hours 18 Mins 47 Secs","nightLengthDisplay":"13 Hours 41 Mins 13 Secs","moonriseLocal":"02:37","moonsetLocal":"14:13","rahuKala":{"name":"Rāhu Kāla","start":"08:16","end":"09:33","startHours":8.26541232044329,"endHours":9.554545855106063,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:51","end":"12:08","startHours":10.84367938976884,"endHours":12.132812924431615,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:25","end":"14:43","startHours":13.42194645909439,"endHours":14.711079993757165,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:23","end":"09:44","startHours":9.382661383817695,"endHours":9.726430326394434,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:24","end":"07:41","startHours":7.405989964001439,"endHours":7.6810051180628305,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:29","startHours":11.789043981854874,"endHours":12.476581867008356,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:36","end":"06:17","startHours":5.601203015473553,"endHours":6.288740900627033,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:07","end":"06:59","startHours":6.116856429338663,"endHours":6.976278785780513,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:51","end":"14:32","startHours":13.851657637315315,"endHours":14.539195522468795,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:05","end":"17:29","startHours":17.089347063082716,"endHours":17.489347063082715,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:17","end":"17:43","startHours":17.289347063082715,"endHours":17.71905824130364,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:02","end":"18:47","startHours":17.039347063082715,"endHours":18.789347063082715,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:29","startHours":23.789043981854874,"endHours":24.476581867008356,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:59","end":"08:16","startHours":6.976278785780513,"endHours":8.26541232044329,"quality":"auspicious"},{"name":"Kāla","start":"08:16","end":"09:33","startHours":8.26541232044329,"endHours":9.554545855106063,"quality":"inauspicious"},{"name":"Śubha","start":"09:33","end":"10:51","startHours":9.554545855106063,"endHours":10.84367938976884,"quality":"auspicious"},{"name":"Roga","start":"10:51","end":"12:08","startHours":10.84367938976884,"endHours":12.132812924431615,"quality":"inauspicious"},{"name":"Udveg","start":"12:08","end":"13:25","startHours":12.132812924431615,"endHours":13.42194645909439,"quality":"inauspicious"},{"name":"Chala","start":"13:25","end":"14:43","startHours":13.42194645909439,"endHours":14.711079993757165,"quality":"neutral"},{"name":"Labha","start":"14:43","end":"16:00","startHours":14.711079993757165,"endHours":16.00021352841994,"quality":"auspicious"},{"name":"Amṛta","start":"16:00","end":"17:17","startHours":16.00021352841994,"endHours":17.289347063082715,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:17","end":"19:00","startHours":17.289347063082715,"endHours":19.00021352841994,"quality":"neutral"},{"name":"Labha","start":"19:00","end":"20:43","startHours":19.00021352841994,"endHours":20.711079993757163,"quality":"auspicious"},{"name":"Amṛta","start":"20:43","end":"22:25","startHours":20.711079993757163,"endHours":22.42194645909439,"quality":"auspicious"},{"name":"Kāla","start":"22:25","end":"00:08","startHours":22.42194645909439,"endHours":24.132812924431615,"quality":"inauspicious"},{"name":"Śubha","start":"00:08","end":"01:51","startHours":24.132812924431615,"endHours":25.843679389768837,"quality":"auspicious"},{"name":"Roga","start":"01:51","end":"03:33","startHours":25.843679389768837,"endHours":27.554545855106063,"quality":"inauspicious"},{"name":"Udveg","start":"03:33","end":"05:16","startHours":27.554545855106063,"endHours":29.26541232044329,"quality":"inauspicious"},{"name":"Chala","start":"05:16","end":"06:59","startHours":29.26541232044329,"endHours":30.976278785780515,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:59","end":"07:59","startHours":6.976278785780513,"endHours":7.976278785780513,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:59","end":"08:59","startHours":7.976278785780513,"endHours":8.976278785780513,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:59","end":"09:59","startHours":8.976278785780513,"endHours":9.976278785780513,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:59","end":"10:59","startHours":9.976278785780513,"endHours":10.976278785780513,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:59","end":"11:59","startHours":10.976278785780513,"endHours":11.976278785780513,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:59","end":"12:59","startHours":11.976278785780513,"endHours":12.976278785780513,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:59","end":"13:59","startHours":12.976278785780513,"endHours":13.976278785780513,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:59","end":"14:59","startHours":13.976278785780513,"endHours":14.976278785780513,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:59","end":"15:59","startHours":14.976278785780513,"endHours":15.976278785780513,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:59","end":"16:59","startHours":15.976278785780513,"endHours":16.976278785780515,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:59","end":"17:59","startHours":16.976278785780515,"endHours":17.976278785780515,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:59","end":"18:59","startHours":17.976278785780515,"endHours":18.976278785780515,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:59","end":"19:59","startHours":18.976278785780515,"endHours":19.976278785780515,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:59","end":"20:59","startHours":19.976278785780515,"endHours":20.976278785780515,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:59","end":"21:59","startHours":20.976278785780515,"endHours":21.976278785780515,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:59","end":"22:59","startHours":21.976278785780515,"endHours":22.976278785780515,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:59","end":"23:59","startHours":22.976278785780515,"endHours":23.976278785780515,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:59","end":"00:59","startHours":23.976278785780515,"endHours":24.976278785780515,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:59","end":"01:59","startHours":24.976278785780515,"endHours":25.976278785780515,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:59","end":"02:59","startHours":25.976278785780515,"endHours":26.976278785780515,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:59","end":"03:59","startHours":26.976278785780515,"endHours":27.976278785780515,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:59","end":"04:59","startHours":27.976278785780515,"endHours":28.976278785780515,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:59","end":"05:59","startHours":28.976278785780515,"endHours":29.976278785780515,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:59","end":"06:59","startHours":29.976278785780515,"endHours":30.976278785780515,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"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":-22.263184709951748,"eotMinutes":8.960824534103129,"ayanamsa":24.4945}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Ekādaśī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"saphala-ekadashi","name":"Saphalā Ekādaśī","name_sanskrit":"सफला एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Renders all undertakings fruitful (saphala).","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Mārgaśīrṣa"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5},{"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":"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, 2045 CE · Ṛṣikeśa · Vidhyamitra","description":"December 4, 2045 CE for Ṛṣikeśa: Kṛṣṇa Ekādaśī, sūryodaya 06:59, sūryāsta 17:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2045-12-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2045-12-04","sa":"https://sa.vidhyamitra.com/city/rishikesh/2045-12-04","hi":"https://hi.vidhyamitra.com/city/rishikesh/2045-12-04","x-default":"https://vidhyamitra.com/city/rishikesh/2045-12-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-24T17:40:05.309Z","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":"2026-05-24T17:40:05.309Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-24T17:40:05.309Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}