{"id":"vidhyamitra:city-day:rishikesh:2045-11-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2045-11-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-11-30","date_display":"November 30, 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":11,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468314.770833,"kali_year":5147,"ahargana":1879849.2708,"sun":{"sidereal_longitude":223.1101,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":114.1464,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":251.0364,"elapsed_within_tithi_degrees":11.0364},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3,"moon_longitude":114.1464,"elapsed_within_degrees":7.4797},"yoga":{"number":26,"name":"Indra","sum_longitude":337.2565},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"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":2045,"month":11,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468314.770833,"ahargana":1879849.2708,"kali_year":5147,"ayanamsa_lahiri":24.4944,"grahas":{"sun":{"sidereal_longitude":223.730682,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":115.84358200000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false,"latitude":0.1877},"mars":{"sidereal_longitude":154.470682,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":203.20288200000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":309.79208199999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":261.2586819999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":228.184982,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":296.5392,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":116.5392,"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":11,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468314.770833,"kali_year":5147,"ahargana":1879849.2708,"sun":{"sidereal_longitude":223.1101,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":114.1464,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":251.0364,"elapsed_within_tithi_degrees":11.0364},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3,"moon_longitude":114.1464,"elapsed_within_degrees":7.4797},"yoga":{"number":26,"name":"Indra","sum_longitude":337.2565},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.188,"elongation":108.964},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.188,"opposition_distance":71.036}},"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":"06:55","sunsetLocal":"17:17","solarNoonLocal":"12:06","dayLengthHours":10.366517398095759,"dayLengthDisplay":"10 Hours 21 Mins 59 Secs","nightLengthDisplay":"13 Hours 38 Mins 01 Secs","moonriseLocal":"22:17","moonsetLocal":"11:33","rahuKala":{"name":"Rāhu Kāla","start":"13:24","end":"14:42","startHours":13.40289866470966,"endHours":14.69871333947163,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:55","end":"08:13","startHours":6.92382529089981,"endHours":8.21963996566178,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:31","end":"10:49","startHours":9.51545464042375,"endHours":10.811269315185719,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:21","end":"09:41","startHours":9.342679350455487,"endHours":9.688229930392012,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:21","end":"07:38","startHours":7.355763515820467,"endHours":7.632203979769687,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:27","startHours":11.761533410011165,"endHours":12.452634569884214,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:32","end":"06:14","startHours":5.541622971153709,"endHours":6.232724131026759,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:04","end":"06:55","startHours":6.059948841058497,"endHours":6.92382529089981,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:50","end":"14:32","startHours":13.834836889630317,"endHours":14.525938049503369,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:05","end":"17:29","startHours":17.09034268899557,"endHours":17.490342688995568,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:17","end":"17:43","startHours":17.29034268899557,"endHours":17.722280913916226,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:02","end":"18:47","startHours":17.04034268899557,"endHours":18.79034268899557,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:27","startHours":23.761533410011165,"endHours":24.452634569884214,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:55","end":"08:13","startHours":6.92382529089981,"endHours":8.21963996566178,"quality":"auspicious"},{"name":"Roga","start":"08:13","end":"09:31","startHours":8.21963996566178,"endHours":9.51545464042375,"quality":"inauspicious"},{"name":"Udveg","start":"09:31","end":"10:49","startHours":9.51545464042375,"endHours":10.811269315185719,"quality":"inauspicious"},{"name":"Chala","start":"10:49","end":"12:06","startHours":10.811269315185719,"endHours":12.10708398994769,"quality":"neutral"},{"name":"Labha","start":"12:06","end":"13:24","startHours":12.10708398994769,"endHours":13.40289866470966,"quality":"auspicious"},{"name":"Amṛta","start":"13:24","end":"14:42","startHours":13.40289866470966,"endHours":14.69871333947163,"quality":"auspicious"},{"name":"Kāla","start":"14:42","end":"16:00","startHours":14.69871333947163,"endHours":15.994528014233598,"quality":"inauspicious"},{"name":"Śubha","start":"16:00","end":"17:17","startHours":15.994528014233598,"endHours":17.29034268899557,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:17","end":"19:00","startHours":17.29034268899557,"endHours":18.994528014233598,"quality":"auspicious"},{"name":"Kāla","start":"19:00","end":"20:42","startHours":18.994528014233598,"endHours":20.69871333947163,"quality":"inauspicious"},{"name":"Śubha","start":"20:42","end":"22:24","startHours":20.69871333947163,"endHours":22.40289866470966,"quality":"auspicious"},{"name":"Roga","start":"22:24","end":"00:06","startHours":22.40289866470966,"endHours":24.10708398994769,"quality":"inauspicious"},{"name":"Udveg","start":"00:06","end":"01:49","startHours":24.10708398994769,"endHours":25.81126931518572,"quality":"inauspicious"},{"name":"Chala","start":"01:49","end":"03:31","startHours":25.81126931518572,"endHours":27.515454640423748,"quality":"neutral"},{"name":"Labha","start":"03:31","end":"05:13","startHours":27.515454640423748,"endHours":29.21963996566178,"quality":"auspicious"},{"name":"Amṛta","start":"05:13","end":"06:55","startHours":29.21963996566178,"endHours":30.92382529089981,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:55","end":"07:55","startHours":6.92382529089981,"endHours":7.92382529089981,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:55","end":"08:55","startHours":7.92382529089981,"endHours":8.92382529089981,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:55","end":"09:55","startHours":8.92382529089981,"endHours":9.92382529089981,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:55","end":"10:55","startHours":9.92382529089981,"endHours":10.92382529089981,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:55","end":"11:55","startHours":10.92382529089981,"endHours":11.92382529089981,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:55","end":"12:55","startHours":11.92382529089981,"endHours":12.92382529089981,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:55","end":"13:55","startHours":12.92382529089981,"endHours":13.92382529089981,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:55","end":"14:55","startHours":13.92382529089981,"endHours":14.92382529089981,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:55","end":"15:55","startHours":14.92382529089981,"endHours":15.92382529089981,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:55","end":"16:55","startHours":15.92382529089981,"endHours":16.92382529089981,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:55","end":"17:55","startHours":16.92382529089981,"endHours":17.92382529089981,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:55","end":"18:55","startHours":17.92382529089981,"endHours":18.92382529089981,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:55","end":"19:55","startHours":18.92382529089981,"endHours":19.92382529089981,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:55","end":"20:55","startHours":19.92382529089981,"endHours":20.92382529089981,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:55","end":"21:55","startHours":20.92382529089981,"endHours":21.92382529089981,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:55","end":"22:55","startHours":21.92382529089981,"endHours":22.92382529089981,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:55","end":"23:55","startHours":22.92382529089981,"endHours":23.92382529089981,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:55","end":"00:55","startHours":23.92382529089981,"endHours":24.92382529089981,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:55","end":"01:55","startHours":24.92382529089981,"endHours":25.92382529089981,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:55","end":"02:55","startHours":25.92382529089981,"endHours":26.92382529089981,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:55","end":"03:55","startHours":26.92382529089981,"endHours":27.92382529089981,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:55","end":"04:55","startHours":27.92382529089981,"endHours":28.92382529089981,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:55","end":"05:55","startHours":28.92382529089981,"endHours":29.92382529089981,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:55","end":"06:55","startHours":29.92382529089981,"endHours":30.92382529089981,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Rākṣasa","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":-21.67575626726525,"eotMinutes":10.504560603138582,"ayanamsa":24.4944}},"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 Ṣaṣṭhī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"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":"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 November 30, 2045 CE · Ṛṣikeśa · Vidhyamitra","description":"November 30, 2045 CE for Ṛṣikeśa: Kṛṣṇa Ṣaṣṭhī, sūryodaya 06:55, sūryāsta 17:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2045-11-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2045-11-30","sa":"https://sa.vidhyamitra.com/city/rishikesh/2045-11-30","hi":"https://hi.vidhyamitra.com/city/rishikesh/2045-11-30","x-default":"https://vidhyamitra.com/city/rishikesh/2045-11-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T23:13:25.383Z","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":"2026-05-15T23:13:25.383Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T23:13:25.383Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}