{"id":"vidhyamitra:city-day:rishikesh:2045-02-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2045-02-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-02-07","date_display":"February 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":2,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468018.770833,"kali_year":5146,"ahargana":1879553.2708,"sun":{"sidereal_longitude":294.1236,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":180.6144,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":246.4909,"elapsed_within_tithi_degrees":6.4909},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":180.6144,"elapsed_within_degrees":7.2811},"yoga":{"number":9,"name":"Śūla","sum_longitude":114.738},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468018.770833,"ahargana":1879553.2708,"kali_year":5146,"ayanamsa_lahiri":24.4831,"grahas":{"sun":{"sidereal_longitude":294.173891,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":183.33599100000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false,"latitude":-3.3631},"mars":{"sidereal_longitude":312.6595910000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":295.46369100000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":294.718891,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":283.782291,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":224.96489099999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":312.2227,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":132.2227,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468018.770833,"kali_year":5146,"ahargana":1879553.2708,"sun":{"sidereal_longitude":294.1236,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":180.6144,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":246.4909,"elapsed_within_tithi_degrees":6.4909},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":180.6144,"elapsed_within_degrees":7.2811},"yoga":{"number":9,"name":"Śūla","sum_longitude":114.738},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.363,"elongation":113.509},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.363,"opposition_distance":66.491}},"eclipse_window_40days":[{"offset_days":10,"type":"solar","occurs":true,"moon_latitude":-0.502,"elongation":0.987}]},"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":"07:04","sunsetLocal":"17:59","solarNoonLocal":"12:31","dayLengthHours":10.924279883759661,"dayLengthDisplay":"10 Hours 55 Mins 27 Secs","nightLengthDisplay":"13 Hours 04 Mins 33 Secs","moonriseLocal":"23:30","moonsetLocal":"10:46","rahuKala":{"name":"Rāhu Kāla","start":"15:15","end":"16:37","startHours":15.252857512762693,"endHours":16.61839249823265,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:47","end":"11:09","startHours":9.790717570882862,"endHours":11.15625255635282,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:31","end":"13:53","startHours":12.521787541822778,"endHours":13.887322527292735,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.608646239486868,"endHours":9.972788902278857,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:31","end":"07:48","startHours":7.514825928432932,"endHours":7.806140058666523,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:53","startHours":12.157644879030789,"endHours":12.885930204614768,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:36","end":"06:20","startHours":5.6030769487749925,"endHours":6.33136227435897,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:09","end":"07:04","startHours":6.149290942962975,"endHours":7.059647599942947,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:21","end":"15:04","startHours":14.34250085578272,"endHours":15.070786181366698,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:47","end":"18:11","startHours":17.78392748370261,"endHours":18.183927483702607,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:59","end":"18:26","startHours":17.983927483702608,"endHours":18.439105812192594,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:44","end":"19:29","startHours":17.733927483702608,"endHours":19.483927483702608,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:53","startHours":24.15764487903079,"endHours":24.885930204614766,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:04","end":"08:26","startHours":7.059647599942947,"endHours":8.425182585412905,"quality":"inauspicious"},{"name":"Udveg","start":"08:26","end":"09:47","startHours":8.425182585412905,"endHours":9.790717570882862,"quality":"inauspicious"},{"name":"Chala","start":"09:47","end":"11:09","startHours":9.790717570882862,"endHours":11.15625255635282,"quality":"neutral"},{"name":"Labha","start":"11:09","end":"12:31","startHours":11.15625255635282,"endHours":12.521787541822778,"quality":"auspicious"},{"name":"Amṛta","start":"12:31","end":"13:53","startHours":12.521787541822778,"endHours":13.887322527292735,"quality":"auspicious"},{"name":"Kāla","start":"13:53","end":"15:15","startHours":13.887322527292735,"endHours":15.252857512762693,"quality":"inauspicious"},{"name":"Śubha","start":"15:15","end":"16:37","startHours":15.252857512762693,"endHours":16.61839249823265,"quality":"auspicious"},{"name":"Roga","start":"16:37","end":"17:59","startHours":16.61839249823265,"endHours":17.983927483702608,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:59","end":"19:37","startHours":17.983927483702608,"endHours":19.61839249823265,"quality":"inauspicious"},{"name":"Śubha","start":"19:37","end":"21:15","startHours":19.61839249823265,"endHours":21.25285751276269,"quality":"auspicious"},{"name":"Roga","start":"21:15","end":"22:53","startHours":21.25285751276269,"endHours":22.887322527292735,"quality":"inauspicious"},{"name":"Udveg","start":"22:53","end":"00:31","startHours":22.887322527292735,"endHours":24.52178754182278,"quality":"inauspicious"},{"name":"Chala","start":"00:31","end":"02:09","startHours":24.52178754182278,"endHours":26.15625255635282,"quality":"neutral"},{"name":"Labha","start":"02:09","end":"03:47","startHours":26.15625255635282,"endHours":27.79071757088286,"quality":"auspicious"},{"name":"Amṛta","start":"03:47","end":"05:26","startHours":27.79071757088286,"endHours":29.425182585412905,"quality":"auspicious"},{"name":"Kāla","start":"05:26","end":"07:04","startHours":29.425182585412905,"endHours":31.05964759994295,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:04","end":"08:04","startHours":7.059647599942947,"endHours":8.059647599942947,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:04","end":"09:04","startHours":8.059647599942947,"endHours":9.059647599942947,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:04","end":"10:04","startHours":9.059647599942947,"endHours":10.059647599942947,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:04","end":"11:04","startHours":10.059647599942947,"endHours":11.059647599942947,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:04","end":"12:04","startHours":11.059647599942947,"endHours":12.059647599942947,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:04","end":"13:04","startHours":12.059647599942947,"endHours":13.059647599942947,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:04","end":"14:04","startHours":13.059647599942947,"endHours":14.059647599942947,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:04","end":"15:04","startHours":14.059647599942947,"endHours":15.059647599942947,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:04","end":"16:04","startHours":15.059647599942947,"endHours":16.05964759994295,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:04","end":"17:04","startHours":16.05964759994295,"endHours":17.05964759994295,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:04","end":"18:04","startHours":17.05964759994295,"endHours":18.05964759994295,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:04","end":"19:04","startHours":18.05964759994295,"endHours":19.05964759994295,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:04","end":"20:04","startHours":19.05964759994295,"endHours":20.05964759994295,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:04","end":"21:04","startHours":20.05964759994295,"endHours":21.05964759994295,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:04","end":"22:04","startHours":21.05964759994295,"endHours":22.05964759994295,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:04","end":"23:04","startHours":22.05964759994295,"endHours":23.05964759994295,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:04","end":"00:04","startHours":23.05964759994295,"endHours":24.05964759994295,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:04","end":"01:04","startHours":24.05964759994295,"endHours":25.05964759994295,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:04","end":"02:04","startHours":25.05964759994295,"endHours":26.05964759994295,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:04","end":"03:04","startHours":26.05964759994295,"endHours":27.05964759994295,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:04","end":"04:04","startHours":27.05964759994295,"endHours":28.05964759994295,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:04","end":"05:04","startHours":28.05964759994295,"endHours":29.05964759994295,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:04","end":"06:04","startHours":29.05964759994295,"endHours":30.05964759994295,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:04","end":"07:04","startHours":30.05964759994295,"endHours":31.05964759994295,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"North (Uttara)","chandraVasa":"North","rahuVasa":"North","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"drikRitu":"Śiśira (Winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-15.232012150009123,"eotMinutes":-14.37765250936663,"ayanamsa":24.4831}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Ṣaṣṭhī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi":"Makara"},"precedence":2}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 February 7, 2045 CE · Ṛṣikeśa · Vidhyamitra","description":"February 7, 2045 CE for Ṛṣikeśa: Kṛṣṇa Ṣaṣṭhī, sūryodaya 07:04, sūryāsta 17:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2045-02-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2045-02-07","sa":"https://sa.vidhyamitra.com/city/rishikesh/2045-02-07","hi":"https://hi.vidhyamitra.com/city/rishikesh/2045-02-07","x-default":"https://vidhyamitra.com/city/rishikesh/2045-02-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T19:18:37.780Z","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":"2026-05-16T19:18:37.780Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T19:18:37.780Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}