{"id":"vidhyamitra:city-day:rishikesh:2090-07-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2090-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2090-07-31","date_display":"July 31, 2090 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":2090,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2484628.770833,"kali_year":5192,"ahargana":1896163.2708,"sun":{"sidereal_longitude":102.5318,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":154.7642,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":52.2324,"elapsed_within_tithi_degrees":4.2324},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":154.7642,"elapsed_within_degrees":8.0975},"yoga":{"number":20,"name":"Śiva","sum_longitude":257.2959},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2090,"month":7,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2484628.770833,"ahargana":1896163.2708,"kali_year":5192,"ayanamsa_lahiri":25.1183,"grahas":{"sun":{"sidereal_longitude":103.27606700000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":158.401067,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false,"latitude":0.2054},"mars":{"sidereal_longitude":63.000067,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":124.08606699999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":224.257567,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":147.58596699999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":55.814967000000024,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":152.1449,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":332.1449,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":2090,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2484628.770833,"kali_year":5192,"ahargana":1896163.2708,"sun":{"sidereal_longitude":102.5318,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":154.7642,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":52.2324,"elapsed_within_tithi_degrees":4.2324},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":154.7642,"elapsed_within_degrees":8.0975},"yoga":{"number":20,"name":"Śiva","sum_longitude":257.2959},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.205,"elongation":52.232},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.205,"opposition_distance":127.768}},"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":13.598809168899656,"dayLengthDisplay":"13 Hours 35 Mins 56 Secs","nightLengthDisplay":"10 Hours 24 Mins 04 Secs","moonriseLocal":"10:04","moonsetLocal":"22:03","rahuKala":{"name":"Rāhu Kāla","start":"07:17","end":"08:59","startHours":7.283796136868476,"endHours":8.983647282980932,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:41","end":"12:23","startHours":10.68349842909339,"endHours":12.383349575205848,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:05","end":"15:47","startHours":14.083200721318306,"endHours":15.78305186743076,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:13","startHours":8.757000463499272,"endHours":9.210294102462594,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:09","end":"06:31","startHours":6.150562039460172,"endHours":6.51319695063083,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:50","startHours":11.930055936242526,"endHours":12.83664321416917,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:46","end":"04:41","startHours":3.770770434902732,"endHours":4.677357712829376,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:27","end":"05:35","startHours":4.450710893347715,"endHours":5.583944990756019,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:33","startHours":14.649817770022455,"endHours":15.556405047949099,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:59","end":"19:23","startHours":18.982754159655677,"endHours":19.382754159655676,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:11","end":"19:45","startHours":19.182754159655676,"endHours":19.74937120835983,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:56","end":"20:41","startHours":18.932754159655676,"endHours":20.682754159655676,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:50","startHours":23.930055936242525,"endHours":24.83664321416917,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:35","end":"07:17","startHours":5.583944990756019,"endHours":7.283796136868476,"quality":"auspicious"},{"name":"Kāla","start":"07:17","end":"08:59","startHours":7.283796136868476,"endHours":8.983647282980932,"quality":"inauspicious"},{"name":"Śubha","start":"08:59","end":"10:41","startHours":8.983647282980932,"endHours":10.68349842909339,"quality":"auspicious"},{"name":"Roga","start":"10:41","end":"12:23","startHours":10.68349842909339,"endHours":12.383349575205848,"quality":"inauspicious"},{"name":"Udveg","start":"12:23","end":"14:05","startHours":12.383349575205848,"endHours":14.083200721318306,"quality":"inauspicious"},{"name":"Chala","start":"14:05","end":"15:47","startHours":14.083200721318306,"endHours":15.78305186743076,"quality":"neutral"},{"name":"Labha","start":"15:47","end":"17:29","startHours":15.78305186743076,"endHours":17.48290301354322,"quality":"auspicious"},{"name":"Amṛta","start":"17:29","end":"19:11","startHours":17.48290301354322,"endHours":19.182754159655676,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:11","end":"20:29","startHours":19.182754159655676,"endHours":20.48290301354322,"quality":"neutral"},{"name":"Labha","start":"20:29","end":"21:47","startHours":20.48290301354322,"endHours":21.783051867430764,"quality":"auspicious"},{"name":"Amṛta","start":"21:47","end":"23:05","startHours":21.783051867430764,"endHours":23.083200721318306,"quality":"auspicious"},{"name":"Kāla","start":"23:05","end":"00:23","startHours":23.083200721318306,"endHours":24.38334957520585,"quality":"inauspicious"},{"name":"Śubha","start":"00:23","end":"01:41","startHours":24.38334957520585,"endHours":25.68349842909339,"quality":"auspicious"},{"name":"Roga","start":"01:41","end":"02:59","startHours":25.68349842909339,"endHours":26.983647282980932,"quality":"inauspicious"},{"name":"Udveg","start":"02:59","end":"04:17","startHours":26.983647282980932,"endHours":28.283796136868478,"quality":"inauspicious"},{"name":"Chala","start":"04:17","end":"05:35","startHours":28.283796136868478,"endHours":29.58394499075602,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:35","end":"06:35","startHours":5.583944990756019,"endHours":6.583944990756019,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:35","end":"07:35","startHours":6.583944990756019,"endHours":7.583944990756019,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:35","end":"08:35","startHours":7.583944990756019,"endHours":8.58394499075602,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:35","end":"09:35","startHours":8.58394499075602,"endHours":9.58394499075602,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:35","end":"10:35","startHours":9.58394499075602,"endHours":10.58394499075602,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:35","end":"11:35","startHours":10.58394499075602,"endHours":11.58394499075602,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:35","end":"12:35","startHours":11.58394499075602,"endHours":12.58394499075602,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:35","end":"13:35","startHours":12.58394499075602,"endHours":13.58394499075602,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:35","end":"14:35","startHours":13.58394499075602,"endHours":14.58394499075602,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:35","end":"15:35","startHours":14.58394499075602,"endHours":15.58394499075602,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:35","end":"16:35","startHours":15.58394499075602,"endHours":16.58394499075602,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:35","end":"17:35","startHours":16.58394499075602,"endHours":17.58394499075602,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:35","end":"18:35","startHours":17.58394499075602,"endHours":18.58394499075602,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:35","end":"19:35","startHours":18.58394499075602,"endHours":19.58394499075602,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:35","end":"20:35","startHours":19.58394499075602,"endHours":20.58394499075602,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:35","end":"21:35","startHours":20.58394499075602,"endHours":21.58394499075602,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:35","end":"22:35","startHours":21.58394499075602,"endHours":22.58394499075602,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:35","end":"23:35","startHours":22.58394499075602,"endHours":23.58394499075602,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:35","end":"00:35","startHours":23.58394499075602,"endHours":24.58394499075602,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:35","end":"01:35","startHours":24.58394499075602,"endHours":25.58394499075602,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:35","end":"02:35","startHours":25.58394499075602,"endHours":26.58394499075602,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:35","end":"03:35","startHours":26.58394499075602,"endHours":27.58394499075602,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:35","end":"04:35","startHours":27.58394499075602,"endHours":28.58394499075602,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:35","end":"05:35","startHours":28.58394499075602,"endHours":29.58394499075602,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"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":18.163194556962928,"eotMinutes":-6.071374512350812,"ayanamsa":25.1183}},"calendars":{"vikram_samvat":2147,"vikram_samvatsara":"Rudhirodgāri","saka_samvat":2012,"saka_samvatsara":"Sādhāraṇa","bengali_samvat":1497,"malayalam_era":1266,"nanakshahi_year":621,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Pañcamī · Vikram 2147 Rudhirodgāri · Śaka 2012 Sādhāraṇa"},"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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, 2090 CE · Ṛṣikeśa · Vidhyamitra","description":"July 31, 2090 CE for Ṛṣikeśa: Śukla Pañcamī, sūryodaya 05:35, sūryāsta 19:11.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2090-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2090-07-31","sa":"https://sa.vidhyamitra.com/city/rishikesh/2090-07-31","hi":"https://hi.vidhyamitra.com/city/rishikesh/2090-07-31","x-default":"https://vidhyamitra.com/city/rishikesh/2090-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T17:12:00.691Z","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":"2026-05-22T17:12:00.691Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T17:12:00.691Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}