{"id":"vidhyamitra:city-day:rishikesh:2049-07-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2049-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2049-07-31","date_display":"July 31, 2049 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":2049,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469653.770833,"kali_year":5151,"ahargana":1881188.2708,"sun":{"sidereal_longitude":103.1105,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":118.2392,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":15.1288,"elapsed_within_tithi_degrees":3.1288},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":118.2392,"elapsed_within_degrees":11.5726},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":221.3497},"karana":{"half_tithi_index":2,"name":"Bālava"},"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":2049,"month":7,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469653.770833,"ahargana":1881188.2708,"kali_year":5151,"ayanamsa_lahiri":24.5456,"grahas":{"sun":{"sidereal_longitude":103.75852199999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":116.88192200000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false,"latitude":-4.2948},"mars":{"sidereal_longitude":104.550522,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":126.16902200000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":83.732122,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"venus":{"sidereal_longitude":66.20922200000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":267.674622,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":225.5925,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":45.5925,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"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":2049,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469653.770833,"kali_year":5151,"ahargana":1881188.2708,"sun":{"sidereal_longitude":103.1105,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":118.2392,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":15.1288,"elapsed_within_tithi_degrees":3.1288},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":118.2392,"elapsed_within_degrees":11.5726},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":221.3497},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.295,"elongation":15.129},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.295,"opposition_distance":164.871}},"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":"05:35","sunsetLocal":"19:11","solarNoonLocal":"12:23","dayLengthHours":13.60087838502033,"dayLengthDisplay":"13 Hours 36 Mins 03 Secs","nightLengthDisplay":"10 Hours 23 Mins 57 Secs","moonriseLocal":"06:39","moonsetLocal":"19:52","rahuKala":{"name":"Rāhu Kāla","start":"08:59","end":"10:41","startHours":8.983129978950764,"endHours":10.683239777078306,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:05","end":"15:47","startHours":14.08345937333339,"endHours":15.783569171460929,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:35","end":"07:17","startHours":5.582910382695682,"endHours":7.2830201808232236,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:13","startHours":8.75644867253376,"endHours":9.20981128536777,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:09","end":"06:31","startHours":6.149613648738196,"endHours":6.512303739005405,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:50","startHours":11.929986962371837,"endHours":12.83671218803986,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:46","end":"04:41","startHours":3.769459931359638,"endHours":4.6761851570276605,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:27","end":"05:35","startHours":4.449503850610655,"endHours":5.582910382695682,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:33","startHours":14.650162639375903,"endHours":15.556887865043926,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:59","end":"19:23","startHours":18.983788767716014,"endHours":19.383788767716013,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:11","end":"19:45","startHours":19.183788767716013,"endHours":19.750492033758526,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:56","end":"20:41","startHours":18.933788767716013,"endHours":20.683788767716013,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:50","startHours":23.92998696237184,"endHours":24.836712188039858,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:35","end":"07:17","startHours":5.582910382695682,"endHours":7.2830201808232236,"quality":"inauspicious"},{"name":"Śubha","start":"07:17","end":"08:59","startHours":7.2830201808232236,"endHours":8.983129978950764,"quality":"auspicious"},{"name":"Roga","start":"08:59","end":"10:41","startHours":8.983129978950764,"endHours":10.683239777078306,"quality":"inauspicious"},{"name":"Udveg","start":"10:41","end":"12:23","startHours":10.683239777078306,"endHours":12.383349575205848,"quality":"inauspicious"},{"name":"Chala","start":"12:23","end":"14:05","startHours":12.383349575205848,"endHours":14.08345937333339,"quality":"neutral"},{"name":"Labha","start":"14:05","end":"15:47","startHours":14.08345937333339,"endHours":15.783569171460929,"quality":"auspicious"},{"name":"Amṛta","start":"15:47","end":"17:29","startHours":15.783569171460929,"endHours":17.48367896958847,"quality":"auspicious"},{"name":"Kāla","start":"17:29","end":"19:11","startHours":17.48367896958847,"endHours":19.183788767716013,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:11","end":"20:29","startHours":19.183788767716013,"endHours":20.48367896958847,"quality":"auspicious"},{"name":"Amṛta","start":"20:29","end":"21:47","startHours":20.48367896958847,"endHours":21.783569171460933,"quality":"auspicious"},{"name":"Kāla","start":"21:47","end":"23:05","startHours":21.783569171460933,"endHours":23.08345937333339,"quality":"inauspicious"},{"name":"Śubha","start":"23:05","end":"00:23","startHours":23.08345937333339,"endHours":24.38334957520585,"quality":"auspicious"},{"name":"Roga","start":"00:23","end":"01:41","startHours":24.38334957520585,"endHours":25.683239777078306,"quality":"inauspicious"},{"name":"Udveg","start":"01:41","end":"02:59","startHours":25.683239777078306,"endHours":26.983129978950764,"quality":"inauspicious"},{"name":"Chala","start":"02:59","end":"04:17","startHours":26.983129978950764,"endHours":28.283020180823225,"quality":"neutral"},{"name":"Labha","start":"04:17","end":"05:35","startHours":28.283020180823225,"endHours":29.582910382695683,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:35","end":"06:35","startHours":5.582910382695682,"endHours":6.582910382695682,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:35","end":"07:35","startHours":6.582910382695682,"endHours":7.582910382695682,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:35","end":"08:35","startHours":7.582910382695682,"endHours":8.582910382695683,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:35","end":"09:35","startHours":8.582910382695683,"endHours":9.582910382695683,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:35","end":"10:35","startHours":9.582910382695683,"endHours":10.582910382695683,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:35","end":"11:35","startHours":10.582910382695683,"endHours":11.582910382695683,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:35","end":"12:35","startHours":11.582910382695683,"endHours":12.582910382695683,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:35","end":"13:35","startHours":12.582910382695683,"endHours":13.582910382695683,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:35","end":"14:35","startHours":13.582910382695683,"endHours":14.582910382695683,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:35","end":"15:35","startHours":14.582910382695683,"endHours":15.582910382695683,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:35","end":"16:35","startHours":15.582910382695683,"endHours":16.582910382695683,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:35","end":"17:35","startHours":16.582910382695683,"endHours":17.582910382695683,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:35","end":"18:35","startHours":17.582910382695683,"endHours":18.582910382695683,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:35","end":"19:35","startHours":18.582910382695683,"endHours":19.582910382695683,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:35","end":"20:35","startHours":19.582910382695683,"endHours":20.582910382695683,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:35","end":"21:35","startHours":20.582910382695683,"endHours":21.582910382695683,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:35","end":"22:35","startHours":21.582910382695683,"endHours":22.582910382695683,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:35","end":"23:35","startHours":22.582910382695683,"endHours":23.582910382695683,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:35","end":"00:35","startHours":23.582910382695683,"endHours":24.582910382695683,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:35","end":"01:35","startHours":24.582910382695683,"endHours":25.582910382695683,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:35","end":"02:35","startHours":25.582910382695683,"endHours":26.582910382695683,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:35","end":"03:35","startHours":26.582910382695683,"endHours":27.582910382695683,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:35","end":"04:35","startHours":27.582910382695683,"endHours":28.582910382695683,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:35","end":"05:35","startHours":28.582910382695683,"endHours":29.582910382695683,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"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":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":18.186634143446906,"eotMinutes":-6.071374512350812,"ayanamsa":24.5456}},"calendars":{"vikram_samvat":2106,"vikram_samvatsara":"Citrabhānu","saka_samvat":1971,"saka_samvatsara":"Śukla","bengali_samvat":1456,"malayalam_era":1225,"nanakshahi_year":580,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Dvitīyā · Vikram 2106 Citrabhānu · Śaka 1971 Śukla"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2}],"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 July 31, 2049 CE · Ṛṣikeśa · Vidhyamitra","description":"July 31, 2049 CE for Ṛṣikeśa: Śukla Dvitīyā, sūryodaya 05:35, sūryāsta 19:11.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2049-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2049-07-31","sa":"https://sa.vidhyamitra.com/city/rishikesh/2049-07-31","hi":"https://hi.vidhyamitra.com/city/rishikesh/2049-07-31","x-default":"https://vidhyamitra.com/city/rishikesh/2049-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-24T09:46:24.690Z","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":"2026-05-24T09:46:24.690Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-24T09:46:24.690Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}