{"id":"vidhyamitra:city-day:rishikesh:2045-09-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2045-09-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-09-15","date_display":"September 15, 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":9,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468238.770833,"kali_year":5147,"ahargana":1879773.2708,"sun":{"sidereal_longitude":147.2945,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":199.6858,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":52.3913,"elapsed_within_tithi_degrees":4.3913},"nakshatra":{"number":15,"name":"Svātī","pada":4,"moon_longitude":199.6858,"elapsed_within_degrees":13.0191},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":346.9804},"karana":{"half_tithi_index":8,"name":"Bava"},"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":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468238.770833,"ahargana":1879773.2708,"kali_year":5147,"ayanamsa_lahiri":24.4915,"grahas":{"sun":{"sidereal_longitude":148.13228600000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":201.78748599999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false,"latitude":-4.4189},"mars":{"sidereal_longitude":109.433786,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":152.82948599999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":310.946686,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":190.98488599999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":220.875086,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":300.566,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":120.566,"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":"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":9,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468238.770833,"kali_year":5147,"ahargana":1879773.2708,"sun":{"sidereal_longitude":147.2945,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":199.6858,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":52.3913,"elapsed_within_tithi_degrees":4.3913},"nakshatra":{"number":15,"name":"Svātī","pada":4,"moon_longitude":199.6858,"elapsed_within_degrees":13.0191},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":346.9804},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.419,"elongation":52.391},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.419,"opposition_distance":127.609}},"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":"06:01","sunsetLocal":"18:22","solarNoonLocal":"12:11","dayLengthHours":12.35495451091012,"dayLengthDisplay":"12 Hours 21 Mins 18 Secs","nightLengthDisplay":"11 Hours 38 Mins 42 Secs","moonriseLocal":"10:23","moonsetLocal":"21:09","rahuKala":{"name":"Rāhu Kāla","start":"10:39","end":"12:11","startHours":10.646179466412864,"endHours":12.190548780276629,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:17","end":"16:49","startHours":15.279287408004159,"endHours":16.823656721867923,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:33","end":"09:06","startHours":7.5574408386853325,"endHours":9.101810152549097,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:18","startHours":8.89589424403393,"endHours":9.307726061064265,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:32","end":"06:51","startHours":6.5278612961094895,"endHours":6.857326749733759,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:36","startHours":11.77871696324629,"endHours":12.602380597306965,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:22","end":"05:11","startHours":4.365744256700218,"endHours":5.189407890760893,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:59","end":"06:01","startHours":4.983491982245724,"endHours":6.013071524821568,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:15","end":"15:04","startHours":14.249707865428315,"endHours":15.073371499488989,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:10","end":"18:34","startHours":18.16802603573169,"endHours":18.568026035731688,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:22","end":"18:53","startHours":18.36802603573169,"endHours":18.88281580701961,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:07","end":"19:52","startHours":18.11802603573169,"endHours":19.86802603573169,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:36","startHours":23.778716963246293,"endHours":24.602380597306965,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:01","end":"07:33","startHours":6.013071524821568,"endHours":7.5574408386853325,"quality":"neutral"},{"name":"Labha","start":"07:33","end":"09:06","startHours":7.5574408386853325,"endHours":9.101810152549097,"quality":"auspicious"},{"name":"Amṛta","start":"09:06","end":"10:39","startHours":9.101810152549097,"endHours":10.646179466412864,"quality":"auspicious"},{"name":"Kāla","start":"10:39","end":"12:11","startHours":10.646179466412864,"endHours":12.190548780276629,"quality":"inauspicious"},{"name":"Śubha","start":"12:11","end":"13:44","startHours":12.190548780276629,"endHours":13.734918094140394,"quality":"auspicious"},{"name":"Roga","start":"13:44","end":"15:17","startHours":13.734918094140394,"endHours":15.279287408004159,"quality":"inauspicious"},{"name":"Udveg","start":"15:17","end":"16:49","startHours":15.279287408004159,"endHours":16.823656721867923,"quality":"inauspicious"},{"name":"Chala","start":"16:49","end":"18:22","startHours":16.823656721867923,"endHours":18.36802603573169,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:22","end":"19:49","startHours":18.36802603573169,"endHours":19.823656721867923,"quality":"inauspicious"},{"name":"Udveg","start":"19:49","end":"21:17","startHours":19.823656721867923,"endHours":21.27928740800416,"quality":"inauspicious"},{"name":"Chala","start":"21:17","end":"22:44","startHours":21.27928740800416,"endHours":22.734918094140394,"quality":"neutral"},{"name":"Labha","start":"22:44","end":"00:11","startHours":22.734918094140394,"endHours":24.19054878027663,"quality":"auspicious"},{"name":"Amṛta","start":"00:11","end":"01:39","startHours":24.19054878027663,"endHours":25.646179466412864,"quality":"auspicious"},{"name":"Kāla","start":"01:39","end":"03:06","startHours":25.646179466412864,"endHours":27.1018101525491,"quality":"inauspicious"},{"name":"Śubha","start":"03:06","end":"04:33","startHours":27.1018101525491,"endHours":28.55744083868533,"quality":"auspicious"},{"name":"Roga","start":"04:33","end":"06:01","startHours":28.55744083868533,"endHours":30.01307152482157,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:01","end":"07:01","startHours":6.013071524821568,"endHours":7.013071524821568,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:01","end":"08:01","startHours":7.013071524821568,"endHours":8.013071524821568,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:01","end":"09:01","startHours":8.013071524821568,"endHours":9.013071524821568,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:01","end":"10:01","startHours":9.013071524821568,"endHours":10.013071524821568,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:01","end":"11:01","startHours":10.013071524821568,"endHours":11.013071524821568,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:01","end":"12:01","startHours":11.013071524821568,"endHours":12.013071524821568,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:01","end":"13:01","startHours":12.013071524821568,"endHours":13.013071524821568,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:01","end":"14:01","startHours":13.013071524821568,"endHours":14.013071524821568,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:01","end":"15:01","startHours":14.013071524821568,"endHours":15.013071524821568,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:01","end":"16:01","startHours":15.013071524821568,"endHours":16.01307152482157,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:01","end":"17:01","startHours":16.01307152482157,"endHours":17.01307152482157,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:01","end":"18:01","startHours":17.01307152482157,"endHours":18.01307152482157,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:01","end":"19:01","startHours":18.01307152482157,"endHours":19.01307152482157,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:01","end":"20:01","startHours":19.01307152482157,"endHours":20.01307152482157,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:01","end":"21:01","startHours":20.01307152482157,"endHours":21.01307152482157,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:01","end":"22:01","startHours":21.01307152482157,"endHours":22.01307152482157,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:01","end":"23:01","startHours":22.01307152482157,"endHours":23.01307152482157,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:01","end":"00:01","startHours":23.01307152482157,"endHours":24.01307152482157,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:01","end":"01:01","startHours":24.01307152482157,"endHours":25.01307152482157,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:01","end":"02:01","startHours":25.01307152482157,"endHours":26.01307152482157,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:01","end":"03:01","startHours":26.01307152482157,"endHours":27.01307152482157,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:01","end":"04:01","startHours":27.01307152482157,"endHours":28.01307152482157,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:01","end":"05:01","startHours":28.01307152482157,"endHours":29.01307152482157,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:01","end":"06:01","startHours":29.01307152482157,"endHours":30.01307152482157,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"North","rahuVasa":"South-East","anandadiYoga":{"name":"Dhvaja","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":2.926935419540166,"eotMinutes":5.496673183402374,"ayanamsa":24.4915}},"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 Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Bhādrapada","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 Śukla Pañcamī · 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 15, 2045 CE · Ṛṣikeśa · Vidhyamitra","description":"September 15, 2045 CE for Ṛṣikeśa: Śukla Pañcamī, sūryodaya 06:01, sūryāsta 18:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2045-09-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2045-09-15","sa":"https://sa.vidhyamitra.com/city/rishikesh/2045-09-15","hi":"https://hi.vidhyamitra.com/city/rishikesh/2045-09-15","x-default":"https://vidhyamitra.com/city/rishikesh/2045-09-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T13:28:05.921Z","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":"2026-05-31T13:28:05.921Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T13:28:05.921Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}