{"id":"vidhyamitra:city-day:rishikesh:2045-10-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2045-10-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-10-07","date_display":"October 7, 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":10,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468260.770833,"kali_year":5147,"ahargana":1879795.2708,"sun":{"sidereal_longitude":168.8402,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":124.6197,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":315.7794,"elapsed_within_tithi_degrees":3.7794},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":124.6197,"elapsed_within_degrees":4.6197},"yoga":{"number":23,"name":"Śubha","sum_longitude":293.4599},"karana":{"half_tithi_index":52,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":10,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468260.770833,"ahargana":1879795.2708,"kali_year":5147,"ayanamsa_lahiri":24.4923,"grahas":{"sun":{"sidereal_longitude":169.69534499999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"moon":{"sidereal_longitude":123.029245,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false,"latitude":-0.4089},"mars":{"sidereal_longitude":123.048745,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":188.17274499999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":308.797045,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":215.27204500000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":222.46274500000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":299.4003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":119.4003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"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":10,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468260.770833,"kali_year":5147,"ahargana":1879795.2708,"sun":{"sidereal_longitude":168.8402,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":124.6197,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":315.7794,"elapsed_within_tithi_degrees":3.7794},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":124.6197,"elapsed_within_degrees":4.6197},"yoga":{"number":23,"name":"Śubha","sum_longitude":293.4599},"karana":{"half_tithi_index":52,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.409,"elongation":44.221},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.409,"opposition_distance":135.779}},"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":"06:13","sunsetLocal":"17:55","solarNoonLocal":"12:04","dayLengthHours":11.695354049279736,"dayLengthDisplay":"11 Hours 41 Mins 43 Secs","nightLengthDisplay":"12 Hours 18 Mins 17 Secs","moonriseLocal":"02:25","moonsetLocal":"15:29","rahuKala":{"name":"Rāhu Kāla","start":"09:09","end":"10:36","startHours":9.142342317529735,"endHours":10.604261573689703,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:32","end":"14:59","startHours":13.528100086009637,"endHours":14.990019342169603,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:13","end":"07:41","startHours":6.218503805209802,"endHours":7.680423061369769,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:57","end":"09:20","startHours":8.94741975004174,"endHours":9.337264885017731,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:42","end":"07:01","startHours":6.705810223929791,"endHours":7.017686331910584,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:27","startHours":11.67633569487368,"endHours":12.456025964825661,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:40","end":"05:26","startHours":4.659123265305837,"endHours":5.43881353525782,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:15","end":"06:13","startHours":5.243890967769824,"endHours":6.218503805209802,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:48","startHours":14.015406504729626,"endHours":14.795096774681609,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:43","end":"18:07","startHours":17.71385785448954,"endHours":18.113857854489538,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:55","end":"18:24","startHours":17.91385785448954,"endHours":18.401164273209528,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:40","end":"19:25","startHours":17.66385785448954,"endHours":19.41385785448954,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:27","startHours":23.67633569487368,"endHours":24.456025964825663,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:13","end":"07:41","startHours":6.218503805209802,"endHours":7.680423061369769,"quality":"inauspicious"},{"name":"Śubha","start":"07:41","end":"09:09","startHours":7.680423061369769,"endHours":9.142342317529735,"quality":"auspicious"},{"name":"Roga","start":"09:09","end":"10:36","startHours":9.142342317529735,"endHours":10.604261573689703,"quality":"inauspicious"},{"name":"Udveg","start":"10:36","end":"12:04","startHours":10.604261573689703,"endHours":12.06618082984967,"quality":"inauspicious"},{"name":"Chala","start":"12:04","end":"13:32","startHours":12.06618082984967,"endHours":13.528100086009637,"quality":"neutral"},{"name":"Labha","start":"13:32","end":"14:59","startHours":13.528100086009637,"endHours":14.990019342169603,"quality":"auspicious"},{"name":"Amṛta","start":"14:59","end":"16:27","startHours":14.990019342169603,"endHours":16.451938598329573,"quality":"auspicious"},{"name":"Kāla","start":"16:27","end":"17:55","startHours":16.451938598329573,"endHours":17.91385785448954,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:55","end":"19:27","startHours":17.91385785448954,"endHours":19.451938598329573,"quality":"auspicious"},{"name":"Amṛta","start":"19:27","end":"20:59","startHours":19.451938598329573,"endHours":20.990019342169603,"quality":"auspicious"},{"name":"Kāla","start":"20:59","end":"22:32","startHours":20.990019342169603,"endHours":22.528100086009637,"quality":"inauspicious"},{"name":"Śubha","start":"22:32","end":"00:04","startHours":22.528100086009637,"endHours":24.06618082984967,"quality":"auspicious"},{"name":"Roga","start":"00:04","end":"01:36","startHours":24.06618082984967,"endHours":25.604261573689705,"quality":"inauspicious"},{"name":"Udveg","start":"01:36","end":"03:09","startHours":25.604261573689705,"endHours":27.14234231752974,"quality":"inauspicious"},{"name":"Chala","start":"03:09","end":"04:41","startHours":27.14234231752974,"endHours":28.68042306136977,"quality":"neutral"},{"name":"Labha","start":"04:41","end":"06:13","startHours":28.68042306136977,"endHours":30.218503805209803,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:13","end":"07:13","startHours":6.218503805209802,"endHours":7.218503805209802,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:13","end":"08:13","startHours":7.218503805209802,"endHours":8.218503805209803,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:13","end":"09:13","startHours":8.218503805209803,"endHours":9.218503805209803,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:13","end":"10:13","startHours":9.218503805209803,"endHours":10.218503805209803,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:13","end":"11:13","startHours":10.218503805209803,"endHours":11.218503805209803,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:13","end":"12:13","startHours":11.218503805209803,"endHours":12.218503805209803,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:13","end":"13:13","startHours":12.218503805209803,"endHours":13.218503805209803,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:13","end":"14:13","startHours":13.218503805209803,"endHours":14.218503805209803,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:13","end":"15:13","startHours":14.218503805209803,"endHours":15.218503805209803,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:13","end":"16:13","startHours":15.218503805209803,"endHours":16.218503805209803,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:13","end":"17:13","startHours":16.218503805209803,"endHours":17.218503805209803,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:13","end":"18:13","startHours":17.218503805209803,"endHours":18.218503805209803,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:13","end":"19:13","startHours":18.218503805209803,"endHours":19.218503805209803,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:13","end":"20:13","startHours":19.218503805209803,"endHours":20.218503805209803,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:13","end":"21:13","startHours":20.218503805209803,"endHours":21.218503805209803,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:13","end":"22:13","startHours":21.218503805209803,"endHours":22.218503805209803,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:13","end":"23:13","startHours":22.218503805209803,"endHours":23.218503805209803,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:13","end":"00:13","startHours":23.218503805209803,"endHours":24.218503805209803,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:13","end":"01:13","startHours":24.218503805209803,"endHours":25.218503805209803,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:13","end":"02:13","startHours":25.218503805209803,"endHours":26.218503805209803,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:13","end":"03:13","startHours":26.218503805209803,"endHours":27.218503805209803,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:13","end":"04:13","startHours":27.218503805209803,"endHours":28.218503805209803,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:13","end":"05:13","startHours":28.218503805209803,"endHours":29.218503805209803,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:13","end":"06:13","startHours":29.218503805209803,"endHours":30.218503805209803,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-5.594281178702928,"eotMinutes":12.958750209019716,"ayanamsa":24.4923}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Dvādaśī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 October 7, 2045 CE · Ṛṣikeśa · Vidhyamitra","description":"October 7, 2045 CE for Ṛṣikeśa: Kṛṣṇa Dvādaśī, sūryodaya 06:13, sūryāsta 17:55.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2045-10-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2045-10-07","sa":"https://sa.vidhyamitra.com/city/rishikesh/2045-10-07","hi":"https://hi.vidhyamitra.com/city/rishikesh/2045-10-07","x-default":"https://vidhyamitra.com/city/rishikesh/2045-10-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T09:22:53.380Z","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":"2026-05-16T09:22:53.380Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T09:22:53.380Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}