{"id":"vidhyamitra:city-day:rishikesh:2088-07-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2088-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2088-07-31","date_display":"July 31, 2088 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":2088,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483898.770833,"kali_year":5190,"ahargana":1895433.2708,"sun":{"sidereal_longitude":103.0235,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":253.8662,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":150.8427,"elapsed_within_tithi_degrees":6.8427},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1,"moon_longitude":253.8662,"elapsed_within_degrees":0.5329},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":356.8897},"karana":{"half_tithi_index":25,"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":2088,"month":7,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2483898.770833,"ahargana":1895433.2708,"kali_year":5190,"ayanamsa_lahiri":25.0904,"grahas":{"sun":{"sidereal_longitude":103.765558,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":255.41805799999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false,"latitude":4.0102},"mars":{"sidereal_longitude":48.44645800000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":120.67545799999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":167.53915800000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"venus":{"sidereal_longitude":122.78815800000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":30.367957999999987,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":190.8238,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":10.8238,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":2088,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483898.770833,"kali_year":5190,"ahargana":1895433.2708,"sun":{"sidereal_longitude":103.0235,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":253.8662,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":150.8427,"elapsed_within_tithi_degrees":6.8427},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1,"moon_longitude":253.8662,"elapsed_within_degrees":0.5329},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":356.8897},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.01,"elongation":150.843},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.01,"opposition_distance":29.157}},"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":13.588176511086743,"dayLengthDisplay":"13 Hours 35 Mins 17 Secs","nightLengthDisplay":"10 Hours 24 Mins 43 Secs","moonriseLocal":"17:24","moonsetLocal":"03:36","rahuKala":{"name":"Rāhu Kāla","start":"08:59","end":"10:41","startHours":8.986305447434162,"endHours":10.684827511320005,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:05","end":"15:47","startHours":14.081871639091691,"endHours":15.780393702977534,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:35","end":"07:17","startHours":5.589261319662476,"endHours":7.287783383548319,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:46","end":"09:13","startHours":8.75983583891605,"endHours":9.212775055952275,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:09","end":"06:31","startHours":6.155435340957757,"endHours":6.5177867145867365,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:50","startHours":11.930410358169624,"endHours":12.836288792242073,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:47","end":"04:41","startHours":3.7775044515175766,"endHours":4.683382885590026,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:27","end":"05:35","startHours":4.456913277071914,"endHours":5.589261319662476,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:33","startHours":14.648045660386973,"endHours":15.553924094459424,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:59","end":"19:23","startHours":18.97743783074922,"endHours":19.37743783074922,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:11","end":"19:45","startHours":19.17743783074922,"endHours":19.743611852044502,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:56","end":"20:41","startHours":18.92743783074922,"endHours":20.67743783074922,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:50","startHours":23.930410358169624,"endHours":24.836288792242073,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:35","end":"07:17","startHours":5.589261319662476,"endHours":7.287783383548319,"quality":"inauspicious"},{"name":"Śubha","start":"07:17","end":"08:59","startHours":7.287783383548319,"endHours":8.986305447434162,"quality":"auspicious"},{"name":"Roga","start":"08:59","end":"10:41","startHours":8.986305447434162,"endHours":10.684827511320005,"quality":"inauspicious"},{"name":"Udveg","start":"10:41","end":"12:23","startHours":10.684827511320005,"endHours":12.383349575205848,"quality":"inauspicious"},{"name":"Chala","start":"12:23","end":"14:05","startHours":12.383349575205848,"endHours":14.081871639091691,"quality":"neutral"},{"name":"Labha","start":"14:05","end":"15:47","startHours":14.081871639091691,"endHours":15.780393702977534,"quality":"auspicious"},{"name":"Amṛta","start":"15:47","end":"17:29","startHours":15.780393702977534,"endHours":17.478915766863377,"quality":"auspicious"},{"name":"Kāla","start":"17:29","end":"19:11","startHours":17.478915766863377,"endHours":19.17743783074922,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:11","end":"20:29","startHours":19.17743783074922,"endHours":20.478915766863377,"quality":"auspicious"},{"name":"Amṛta","start":"20:29","end":"21:47","startHours":20.478915766863377,"endHours":21.780393702977534,"quality":"auspicious"},{"name":"Kāla","start":"21:47","end":"23:05","startHours":21.780393702977534,"endHours":23.08187163909169,"quality":"inauspicious"},{"name":"Śubha","start":"23:05","end":"00:23","startHours":23.08187163909169,"endHours":24.38334957520585,"quality":"auspicious"},{"name":"Roga","start":"00:23","end":"01:41","startHours":24.38334957520585,"endHours":25.684827511320005,"quality":"inauspicious"},{"name":"Udveg","start":"01:41","end":"02:59","startHours":25.684827511320005,"endHours":26.986305447434162,"quality":"inauspicious"},{"name":"Chala","start":"02:59","end":"04:17","startHours":26.986305447434162,"endHours":28.28778338354832,"quality":"neutral"},{"name":"Labha","start":"04:17","end":"05:35","startHours":28.28778338354832,"endHours":29.589261319662477,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:35","end":"06:35","startHours":5.589261319662476,"endHours":6.589261319662476,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:35","end":"07:35","startHours":6.589261319662476,"endHours":7.589261319662476,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:35","end":"08:35","startHours":7.589261319662476,"endHours":8.589261319662477,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:35","end":"09:35","startHours":8.589261319662477,"endHours":9.589261319662477,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:35","end":"10:35","startHours":9.589261319662477,"endHours":10.589261319662477,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:35","end":"11:35","startHours":10.589261319662477,"endHours":11.589261319662477,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:35","end":"12:35","startHours":11.589261319662477,"endHours":12.589261319662477,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:35","end":"13:35","startHours":12.589261319662477,"endHours":13.589261319662477,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:35","end":"14:35","startHours":13.589261319662477,"endHours":14.589261319662477,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:35","end":"15:35","startHours":14.589261319662477,"endHours":15.589261319662477,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:35","end":"16:35","startHours":15.589261319662477,"endHours":16.589261319662477,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:35","end":"17:35","startHours":16.589261319662477,"endHours":17.589261319662477,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:35","end":"18:35","startHours":17.589261319662477,"endHours":18.589261319662477,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:35","end":"19:35","startHours":18.589261319662477,"endHours":19.589261319662477,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:35","end":"20:35","startHours":19.589261319662477,"endHours":20.589261319662477,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:35","end":"21:35","startHours":20.589261319662477,"endHours":21.589261319662477,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:35","end":"22:35","startHours":21.589261319662477,"endHours":22.589261319662477,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:35","end":"23:35","startHours":22.589261319662477,"endHours":23.589261319662477,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:35","end":"00:35","startHours":23.589261319662477,"endHours":24.589261319662477,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:35","end":"01:35","startHours":24.589261319662477,"endHours":25.589261319662477,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:35","end":"02:35","startHours":25.589261319662477,"endHours":26.589261319662477,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:35","end":"03:35","startHours":26.589261319662477,"endHours":27.589261319662477,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:35","end":"04:35","startHours":27.589261319662477,"endHours":28.589261319662477,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:35","end":"05:35","startHours":28.589261319662477,"endHours":29.589261319662477,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.04262580269355,"eotMinutes":-6.071374512350812,"ayanamsa":25.0904}},"calendars":{"vikram_samvat":2145,"vikram_samvatsara":"Durmati","saka_samvat":2010,"saka_samvatsara":"Kīlaka","bengali_samvat":1495,"malayalam_era":1264,"nanakshahi_year":619,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa (Adhika) Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":true,"lunar_month_purnimanta_is_adhika":true,"lunar_month_amanta_is_adhika":true,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa (Adhika) Śukla Trayodaśī · Vikram 2145 Durmati · Śaka 2010 Kīlaka"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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, 2088 CE · Ṛṣikeśa · Vidhyamitra","description":"July 31, 2088 CE for Ṛṣikeśa: Śukla Trayodaśī, sūryodaya 05:35, sūryāsta 19:11.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2088-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2088-07-31","sa":"https://sa.vidhyamitra.com/city/rishikesh/2088-07-31","hi":"https://hi.vidhyamitra.com/city/rishikesh/2088-07-31","x-default":"https://vidhyamitra.com/city/rishikesh/2088-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-30T23:32:15.372Z","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":"2026-05-30T23:32:15.372Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-30T23:32:15.372Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}