{"id":"vidhyamitra:city-day:rishikesh:2045-09-08:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2045-09-08","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-09-08","date_display":"September 8, 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2045,"month":9,"day":8,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468231.770833,"kali_year":5147,"ahargana":1879766.2708,"sun":{"sidereal_longitude":140.5054,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":100.51,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":320.0045,"elapsed_within_tithi_degrees":8.0045},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":100.51,"elapsed_within_degrees":7.1767},"yoga":{"number":19,"name":"Parigha","sum_longitude":241.0154},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":9,"day":8,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468231.770833,"ahargana":1879766.2708,"kali_year":5147,"ayanamsa_lahiri":24.4912,"grahas":{"sun":{"sidereal_longitude":141.324953,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":98.90685300000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false,"latitude":1.5691},"mars":{"sidereal_longitude":105.02315299999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":139.92265299999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":311.82125300000007,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":183.01935300000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":220.50385299999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":300.9369,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":120.9369,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2045,"month":9,"day":8,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468231.770833,"kali_year":5147,"ahargana":1879766.2708,"sun":{"sidereal_longitude":140.5054,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":100.51,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":320.0045,"elapsed_within_tithi_degrees":8.0045},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":100.51,"elapsed_within_degrees":7.1767},"yoga":{"number":19,"name":"Parigha","sum_longitude":241.0154},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.569,"elongation":39.995},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.569,"opposition_distance":140.005}},"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":"05:57","sunsetLocal":"18:31","solarNoonLocal":"12:14","dayLengthHours":12.562901418444392,"dayLengthDisplay":"12 Hours 33 Mins 46 Secs","nightLengthDisplay":"11 Hours 26 Mins 14 Secs","moonriseLocal":"02:34","moonsetLocal":"16:14","rahuKala":{"name":"Rāhu Kāla","start":"10:40","end":"12:14","startHours":10.663157912366636,"endHours":12.233520589672185,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:22","end":"16:57","startHours":15.374245944283283,"endHours":16.94460862158883,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:31","end":"09:06","startHours":7.522432557755537,"endHours":9.092795235061086,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:18","startHours":8.88341354475368,"endHours":9.302176925368492,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:29","end":"06:49","startHours":6.475524106218504,"endHours":6.8105348107103545,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:39","startHours":11.814757209057372,"endHours":12.652283970286998,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:17","end":"05:07","startHours":4.277016357990736,"endHours":5.114543119220362,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:54","end":"05:57","startHours":4.9051614289129555,"endHours":5.952069880449988,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:20","end":"15:10","startHours":14.32733749274625,"endHours":15.164864253975875,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:19","end":"18:43","startHours":18.31497129889438,"endHours":18.71497129889438,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:31","end":"19:02","startHours":18.51497129889438,"endHours":19.038425524662898,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:16","end":"20:01","startHours":18.26497129889438,"endHours":20.01497129889438,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:39","startHours":23.814757209057372,"endHours":24.652283970286998,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:57","end":"07:31","startHours":5.952069880449988,"endHours":7.522432557755537,"quality":"neutral"},{"name":"Labha","start":"07:31","end":"09:06","startHours":7.522432557755537,"endHours":9.092795235061086,"quality":"auspicious"},{"name":"Amṛta","start":"09:06","end":"10:40","startHours":9.092795235061086,"endHours":10.663157912366636,"quality":"auspicious"},{"name":"Kāla","start":"10:40","end":"12:14","startHours":10.663157912366636,"endHours":12.233520589672185,"quality":"inauspicious"},{"name":"Śubha","start":"12:14","end":"13:48","startHours":12.233520589672185,"endHours":13.803883266977733,"quality":"auspicious"},{"name":"Roga","start":"13:48","end":"15:22","startHours":13.803883266977733,"endHours":15.374245944283283,"quality":"inauspicious"},{"name":"Udveg","start":"15:22","end":"16:57","startHours":15.374245944283283,"endHours":16.94460862158883,"quality":"inauspicious"},{"name":"Chala","start":"16:57","end":"18:31","startHours":16.94460862158883,"endHours":18.51497129889438,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:31","end":"19:57","startHours":18.51497129889438,"endHours":19.94460862158883,"quality":"inauspicious"},{"name":"Udveg","start":"19:57","end":"21:22","startHours":19.94460862158883,"endHours":21.37424594428328,"quality":"inauspicious"},{"name":"Chala","start":"21:22","end":"22:48","startHours":21.37424594428328,"endHours":22.803883266977735,"quality":"neutral"},{"name":"Labha","start":"22:48","end":"00:14","startHours":22.803883266977735,"endHours":24.233520589672185,"quality":"auspicious"},{"name":"Amṛta","start":"00:14","end":"01:40","startHours":24.233520589672185,"endHours":25.663157912366636,"quality":"auspicious"},{"name":"Kāla","start":"01:40","end":"03:06","startHours":25.663157912366636,"endHours":27.092795235061086,"quality":"inauspicious"},{"name":"Śubha","start":"03:06","end":"04:31","startHours":27.092795235061086,"endHours":28.522432557755536,"quality":"auspicious"},{"name":"Roga","start":"04:31","end":"05:57","startHours":28.522432557755536,"endHours":29.95206988044999,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:57","end":"06:57","startHours":5.952069880449988,"endHours":6.952069880449988,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:57","end":"07:57","startHours":6.952069880449988,"endHours":7.952069880449988,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:57","end":"08:57","startHours":7.952069880449988,"endHours":8.952069880449988,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:57","end":"09:57","startHours":8.952069880449988,"endHours":9.952069880449988,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:57","end":"10:57","startHours":9.952069880449988,"endHours":10.952069880449988,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:57","end":"11:57","startHours":10.952069880449988,"endHours":11.952069880449988,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:57","end":"12:57","startHours":11.952069880449988,"endHours":12.952069880449988,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:57","end":"13:57","startHours":12.952069880449988,"endHours":13.952069880449988,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:57","end":"14:57","startHours":13.952069880449988,"endHours":14.952069880449988,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:57","end":"15:57","startHours":14.952069880449988,"endHours":15.952069880449988,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:57","end":"16:57","startHours":15.952069880449988,"endHours":16.95206988044999,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:57","end":"17:57","startHours":16.95206988044999,"endHours":17.95206988044999,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:57","end":"18:57","startHours":17.95206988044999,"endHours":18.95206988044999,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:57","end":"19:57","startHours":18.95206988044999,"endHours":19.95206988044999,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:57","end":"20:57","startHours":19.95206988044999,"endHours":20.95206988044999,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:57","end":"21:57","startHours":20.95206988044999,"endHours":21.95206988044999,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:57","end":"22:57","startHours":21.95206988044999,"endHours":22.95206988044999,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:57","end":"23:57","startHours":22.95206988044999,"endHours":23.95206988044999,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:57","end":"00:57","startHours":23.95206988044999,"endHours":24.95206988044999,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:57","end":"01:57","startHours":24.95206988044999,"endHours":25.95206988044999,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:57","end":"02:57","startHours":25.95206988044999,"endHours":26.95206988044999,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:57","end":"03:57","startHours":26.95206988044999,"endHours":27.95206988044999,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:57","end":"04:57","startHours":27.95206988044999,"endHours":28.95206988044999,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:57","end":"05:57","startHours":28.95206988044999,"endHours":29.95206988044999,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"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":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":5.592809647294655,"eotMinutes":2.918364619668906,"ayanamsa":24.4912}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Dvādaśī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 September 8, 2045 CE · Ṛṣikeśa · Vidhyamitra","description":"September 8, 2045 CE for Ṛṣikeśa: Kṛṣṇa Dvādaśī, sūryodaya 05:57, sūryāsta 18:31.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2045-09-08","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2045-09-08","sa":"https://sa.vidhyamitra.com/city/rishikesh/2045-09-08","hi":"https://hi.vidhyamitra.com/city/rishikesh/2045-09-08","x-default":"https://vidhyamitra.com/city/rishikesh/2045-09-08"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T00:33:40.272Z","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":"2026-08-10T00:33:40.272Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T00:33:40.272Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}