{"id":"vidhyamitra:city-day:rishikesh:2040-09-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2040-09-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-09-29","date_display":"September 29, 2040 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":2040,"month":9,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466426.770833,"kali_year":5142,"ahargana":1877961.2708,"sun":{"sidereal_longitude":161.2556,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":79.941,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":278.6853,"elapsed_within_tithi_degrees":2.6853},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":79.941,"elapsed_within_degrees":13.2743},"yoga":{"number":19,"name":"Parigha","sum_longitude":241.1966},"karana":{"half_tithi_index":46,"name":"Taitila"},"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":2040,"month":9,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466426.770833,"ahargana":1877961.2708,"kali_year":5142,"ayanamsa_lahiri":24.4222,"grahas":{"sun":{"sidereal_longitude":162.099017,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"moon":{"sidereal_longitude":81.27491700000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false,"latitude":3.0883},"mars":{"sidereal_longitude":184.70291699999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":187.51741700000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":166.01531699999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"venus":{"sidereal_longitude":193.45441699999992,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":168.80171700000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":36.5745,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":216.5745,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2040,"month":9,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466426.770833,"kali_year":5142,"ahargana":1877961.2708,"sun":{"sidereal_longitude":161.2556,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":79.941,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":278.6853,"elapsed_within_tithi_degrees":2.6853},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":79.941,"elapsed_within_degrees":13.2743},"yoga":{"number":19,"name":"Parigha","sum_longitude":241.1966},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.088,"elongation":81.315},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.088,"opposition_distance":98.685}},"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":"06:09","sunsetLocal":"18:04","solarNoonLocal":"12:06","dayLengthHours":11.92835183786088,"dayLengthDisplay":"11 Hours 55 Mins 42 Secs","nightLengthDisplay":"12 Hours 04 Mins 18 Secs","moonriseLocal":"23:45","moonsetLocal":"13:42","rahuKala":{"name":"Rāhu Kāla","start":"09:07","end":"10:37","startHours":9.124812767804642,"endHours":10.615856747537253,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:36","end":"15:05","startHours":13.597944707002473,"endHours":15.088988686735082,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:09","end":"07:38","startHours":6.142724808339422,"endHours":7.633768788072032,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:19","startHours":8.926006903840294,"endHours":9.32361863176899,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:38","end":"06:57","startHours":6.639739468250292,"endHours":6.957828850593249,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:43","end":"12:30","startHours":11.709288999341167,"endHours":12.50451245519856,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:33","end":"05:21","startHours":4.552277896624638,"endHours":5.3475013524820305,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:09","end":"06:09","startHours":5.148695488517682,"endHours":6.142724808339422,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:06","end":"14:53","startHours":14.094959366913344,"endHours":14.890182822770736,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:52","end":"18:16","startHours":17.871076646200304,"endHours":18.271076646200303,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:04","end":"18:34","startHours":18.071076646200304,"endHours":18.568091306111175,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:49","end":"19:34","startHours":17.821076646200304,"endHours":19.571076646200304,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:43","end":"00:30","startHours":23.70928899934117,"endHours":24.504512455198558,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:09","end":"07:38","startHours":6.142724808339422,"endHours":7.633768788072032,"quality":"inauspicious"},{"name":"Śubha","start":"07:38","end":"09:07","startHours":7.633768788072032,"endHours":9.124812767804642,"quality":"auspicious"},{"name":"Roga","start":"09:07","end":"10:37","startHours":9.124812767804642,"endHours":10.615856747537253,"quality":"inauspicious"},{"name":"Udveg","start":"10:37","end":"12:06","startHours":10.615856747537253,"endHours":12.106900727269863,"quality":"inauspicious"},{"name":"Chala","start":"12:06","end":"13:36","startHours":12.106900727269863,"endHours":13.597944707002473,"quality":"neutral"},{"name":"Labha","start":"13:36","end":"15:05","startHours":13.597944707002473,"endHours":15.088988686735082,"quality":"auspicious"},{"name":"Amṛta","start":"15:05","end":"16:35","startHours":15.088988686735082,"endHours":16.580032666467694,"quality":"auspicious"},{"name":"Kāla","start":"16:35","end":"18:04","startHours":16.580032666467694,"endHours":18.071076646200304,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:04","end":"19:35","startHours":18.071076646200304,"endHours":19.580032666467694,"quality":"auspicious"},{"name":"Amṛta","start":"19:35","end":"21:05","startHours":19.580032666467694,"endHours":21.088988686735085,"quality":"auspicious"},{"name":"Kāla","start":"21:05","end":"22:36","startHours":21.088988686735085,"endHours":22.597944707002473,"quality":"inauspicious"},{"name":"Śubha","start":"22:36","end":"00:06","startHours":22.597944707002473,"endHours":24.106900727269863,"quality":"auspicious"},{"name":"Roga","start":"00:06","end":"01:37","startHours":24.106900727269863,"endHours":25.615856747537254,"quality":"inauspicious"},{"name":"Udveg","start":"01:37","end":"03:07","startHours":25.615856747537254,"endHours":27.12481276780464,"quality":"inauspicious"},{"name":"Chala","start":"03:07","end":"04:38","startHours":27.12481276780464,"endHours":28.633768788072032,"quality":"neutral"},{"name":"Labha","start":"04:38","end":"06:09","startHours":28.633768788072032,"endHours":30.142724808339423,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:09","end":"07:09","startHours":6.142724808339422,"endHours":7.142724808339422,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:09","end":"08:09","startHours":7.142724808339422,"endHours":8.142724808339423,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:09","end":"09:09","startHours":8.142724808339423,"endHours":9.142724808339423,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:09","end":"10:09","startHours":9.142724808339423,"endHours":10.142724808339423,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:09","end":"11:09","startHours":10.142724808339423,"endHours":11.142724808339423,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:09","end":"12:09","startHours":11.142724808339423,"endHours":12.142724808339423,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:09","end":"13:09","startHours":12.142724808339423,"endHours":13.142724808339423,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:09","end":"14:09","startHours":13.142724808339423,"endHours":14.142724808339423,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:09","end":"15:09","startHours":14.142724808339423,"endHours":15.142724808339423,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:09","end":"16:09","startHours":15.142724808339423,"endHours":16.142724808339423,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:09","end":"17:09","startHours":16.142724808339423,"endHours":17.142724808339423,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:09","end":"18:09","startHours":17.142724808339423,"endHours":18.142724808339423,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:09","end":"19:09","startHours":18.142724808339423,"endHours":19.142724808339423,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:09","end":"20:09","startHours":19.142724808339423,"endHours":20.142724808339423,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:09","end":"21:09","startHours":20.142724808339423,"endHours":21.142724808339423,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:09","end":"22:09","startHours":21.142724808339423,"endHours":22.142724808339423,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:09","end":"23:09","startHours":22.142724808339423,"endHours":23.142724808339423,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:09","end":"00:09","startHours":23.142724808339423,"endHours":24.142724808339423,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:09","end":"01:09","startHours":24.142724808339423,"endHours":25.142724808339423,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:09","end":"02:09","startHours":25.142724808339423,"endHours":26.142724808339423,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:09","end":"03:09","startHours":26.142724808339423,"endHours":27.142724808339423,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:09","end":"04:09","startHours":27.142724808339423,"endHours":28.142724808339423,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:09","end":"05:09","startHours":28.142724808339423,"endHours":29.142724808339423,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:09","end":"06:09","startHours":29.142724808339423,"endHours":30.142724808339423,"planetary_lord":"Mercury"}],"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Kāladaṇḍa","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":-2.588984352771021,"eotMinutes":10.515556363808276,"ayanamsa":24.4222}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Navamī · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"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 September 29, 2040 CE · Ṛṣikeśa · Vidhyamitra","description":"September 29, 2040 CE for Ṛṣikeśa: Kṛṣṇa Navamī, sūryodaya 06:09, sūryāsta 18:04.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2040-09-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2040-09-29","sa":"https://sa.vidhyamitra.com/city/rishikesh/2040-09-29","hi":"https://hi.vidhyamitra.com/city/rishikesh/2040-09-29","x-default":"https://vidhyamitra.com/city/rishikesh/2040-09-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T14:34:09.842Z","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":"2026-05-15T14:34:09.842Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T14:34:09.842Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}