{"id":"vidhyamitra:city-day:rishikesh:2120-07-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2120-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2120-07-31","date_display":"July 31, 2120 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":2120,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495585.770833,"kali_year":5222,"ahargana":1907120.2708,"sun":{"sidereal_longitude":101.8072,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":165.6929,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":63.8857,"elapsed_within_tithi_degrees":3.8857},"nakshatra":{"number":13,"name":"Hasta","pada":2,"moon_longitude":165.6929,"elapsed_within_degrees":5.6929},"yoga":{"number":21,"name":"Siddha","sum_longitude":267.5001},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2120,"month":7,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495585.770833,"ahargana":1907120.2708,"kali_year":5222,"ayanamsa_lahiri":25.5374,"grahas":{"sun":{"sidereal_longitude":102.61912900000004,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":162.21682899999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false,"latitude":-3.644},"mars":{"sidereal_longitude":50.625429,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":104.43102899999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":77.929529,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":123.26432899999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":62.63392900000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":291.5903,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":111.5903,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2120,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495585.770833,"kali_year":5222,"ahargana":1907120.2708,"sun":{"sidereal_longitude":101.8072,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":165.6929,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":63.8857,"elapsed_within_tithi_degrees":3.8857},"nakshatra":{"number":13,"name":"Hasta","pada":2,"moon_longitude":165.6929,"elapsed_within_degrees":5.6929},"yoga":{"number":21,"name":"Siddha","sum_longitude":267.5001},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.644,"elongation":63.886},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.644,"opposition_distance":116.114}},"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":13.604255737513725,"dayLengthDisplay":"13 Hours 36 Mins 15 Secs","nightLengthDisplay":"10 Hours 23 Mins 45 Secs","moonriseLocal":"10:26","moonsetLocal":"22:17","rahuKala":{"name":"Rāhu Kāla","start":"12:23","end":"14:05","startHours":12.383349575205848,"endHours":14.083881542395062,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:17","end":"08:59","startHours":7.2817536736382005,"endHours":8.982285640827417,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:41","end":"12:23","startHours":10.68281760801663,"endHours":12.383349575205848,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:13","startHours":8.755548045202188,"endHours":9.209023236452644,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:09","end":"06:31","startHours":6.148065695512057,"endHours":6.510845848512423,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:50","startHours":11.92987438395539,"endHours":12.836824766456306,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:46","end":"04:40","startHours":3.7673209414471547,"endHours":4.67427132394807,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:27","end":"05:35","startHours":4.447533728322841,"endHours":5.581221706448985,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:33","startHours":14.650725531458136,"endHours":15.55767591395905,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:59","end":"19:23","startHours":18.98547744396271,"endHours":19.38547744396271,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:11","end":"19:45","startHours":19.18547744396271,"endHours":19.752321433025784,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:56","end":"20:41","startHours":18.93547744396271,"endHours":20.68547744396271,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:50","startHours":23.92987438395539,"endHours":24.836824766456306,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:35","end":"07:17","startHours":5.581221706448985,"endHours":7.2817536736382005,"quality":"auspicious"},{"name":"Amṛta","start":"07:17","end":"08:59","startHours":7.2817536736382005,"endHours":8.982285640827417,"quality":"auspicious"},{"name":"Kāla","start":"08:59","end":"10:41","startHours":8.982285640827417,"endHours":10.68281760801663,"quality":"inauspicious"},{"name":"Śubha","start":"10:41","end":"12:23","startHours":10.68281760801663,"endHours":12.383349575205848,"quality":"auspicious"},{"name":"Roga","start":"12:23","end":"14:05","startHours":12.383349575205848,"endHours":14.083881542395062,"quality":"inauspicious"},{"name":"Udveg","start":"14:05","end":"15:47","startHours":14.083881542395062,"endHours":15.78441350958428,"quality":"inauspicious"},{"name":"Chala","start":"15:47","end":"17:29","startHours":15.78441350958428,"endHours":17.484945476773493,"quality":"neutral"},{"name":"Labha","start":"17:29","end":"19:11","startHours":17.484945476773493,"endHours":19.18547744396271,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:11","end":"20:29","startHours":19.18547744396271,"endHours":20.484945476773497,"quality":"inauspicious"},{"name":"Chala","start":"20:29","end":"21:47","startHours":20.484945476773497,"endHours":21.78441350958428,"quality":"neutral"},{"name":"Labha","start":"21:47","end":"23:05","startHours":21.78441350958428,"endHours":23.083881542395062,"quality":"auspicious"},{"name":"Amṛta","start":"23:05","end":"00:23","startHours":23.083881542395062,"endHours":24.38334957520585,"quality":"auspicious"},{"name":"Kāla","start":"00:23","end":"01:41","startHours":24.38334957520585,"endHours":25.682817608016634,"quality":"inauspicious"},{"name":"Śubha","start":"01:41","end":"02:59","startHours":25.682817608016634,"endHours":26.982285640827417,"quality":"auspicious"},{"name":"Roga","start":"02:59","end":"04:17","startHours":26.982285640827417,"endHours":28.2817536736382,"quality":"inauspicious"},{"name":"Udveg","start":"04:17","end":"05:35","startHours":28.2817536736382,"endHours":29.581221706448986,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:35","end":"06:35","startHours":5.581221706448985,"endHours":6.581221706448985,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:35","end":"07:35","startHours":6.581221706448985,"endHours":7.581221706448985,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:35","end":"08:35","startHours":7.581221706448985,"endHours":8.581221706448986,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:35","end":"09:35","startHours":8.581221706448986,"endHours":9.581221706448986,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:35","end":"10:35","startHours":9.581221706448986,"endHours":10.581221706448986,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:35","end":"11:35","startHours":10.581221706448986,"endHours":11.581221706448986,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:35","end":"12:35","startHours":11.581221706448986,"endHours":12.581221706448986,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:35","end":"13:35","startHours":12.581221706448986,"endHours":13.581221706448986,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:35","end":"14:35","startHours":13.581221706448986,"endHours":14.581221706448986,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:35","end":"15:35","startHours":14.581221706448986,"endHours":15.581221706448986,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:35","end":"16:35","startHours":15.581221706448986,"endHours":16.581221706448986,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:35","end":"17:35","startHours":16.581221706448986,"endHours":17.581221706448986,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:35","end":"18:35","startHours":17.581221706448986,"endHours":18.581221706448986,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:35","end":"19:35","startHours":18.581221706448986,"endHours":19.581221706448986,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:35","end":"20:35","startHours":19.581221706448986,"endHours":20.581221706448986,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:35","end":"21:35","startHours":20.581221706448986,"endHours":21.581221706448986,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:35","end":"22:35","startHours":21.581221706448986,"endHours":22.581221706448986,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:35","end":"23:35","startHours":22.581221706448986,"endHours":23.581221706448986,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:35","end":"00:35","startHours":23.581221706448986,"endHours":24.581221706448986,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:35","end":"01:35","startHours":24.581221706448986,"endHours":25.581221706448986,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:35","end":"02:35","startHours":25.581221706448986,"endHours":26.581221706448986,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:35","end":"03:35","startHours":26.581221706448986,"endHours":27.581221706448986,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:35","end":"04:35","startHours":27.581221706448986,"endHours":28.581221706448986,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:35","end":"05:35","startHours":28.581221706448986,"endHours":29.581221706448986,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"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":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"South-West","anandadiYoga":{"name":"Rākṣasa","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":18.224874992227694,"eotMinutes":-6.071374512350812,"ayanamsa":25.5374}},"calendars":{"vikram_samvat":2177,"vikram_samvatsara":"Vijaya","saka_samvat":2042,"saka_samvatsara":"Vikrama","bengali_samvat":1527,"malayalam_era":1296,"nanakshahi_year":651,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Ṣaṣṭhī · Vikram 2177 Vijaya · Śaka 2042 Vikrama"},"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},{"id":"kalki-jayanti","name":"Kalki Jayantī","name_sanskrit":"कल्कि जयन्ती","tradition":"Vaishnava","associated_deity":"Kalki (10th daśāvatāra of Krishna)","deity_avatara_index":22,"significance":"Future Kalki avatāra — to manifest at end of Kali Yuga; observed Śrāvaṇa Śukla 6.","vrata":false,"detection":{"tithi_number":6,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":4,"sources":["Bhāgavata 12.2.18-20","Kalki Purāṇa"]}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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, 2120 CE · Ṛṣikeśa · Vidhyamitra","description":"July 31, 2120 CE for Ṛṣikeśa: Śukla Ṣaṣṭhī, sūryodaya 05:35, sūryāsta 19:11.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2120-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2120-07-31","sa":"https://sa.vidhyamitra.com/city/rishikesh/2120-07-31","hi":"https://hi.vidhyamitra.com/city/rishikesh/2120-07-31","x-default":"https://vidhyamitra.com/city/rishikesh/2120-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T04:21:35.022Z","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":"2026-05-22T04:21:35.022Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T04:21:35.022Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}