{"id":"vidhyamitra:city-day:rishikesh:2101-08-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2101-08-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2101-08-13","date_display":"August 13, 2101 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":2101,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488658.770833,"kali_year":5203,"ahargana":1900193.2708,"sun":{"sidereal_longitude":114.1023,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":341.7135,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":227.6112,"elapsed_within_tithi_degrees":11.6112},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":341.7135,"elapsed_within_degrees":8.3801},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":95.8157},"karana":{"half_tithi_index":37,"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":2101,"month":8,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488658.770833,"ahargana":1900193.2708,"kali_year":5203,"ayanamsa_lahiri":25.2725,"grahas":{"sun":{"sidereal_longitude":114.942091,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":341.911991,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false,"latitude":3.0729},"mars":{"sidereal_longitude":30.345091000000025,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":137.188291,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":198.96629099999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":153.72149100000001,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":186.63719100000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":298.6161,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":118.6161,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2101,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488658.770833,"kali_year":5203,"ahargana":1900193.2708,"sun":{"sidereal_longitude":114.1023,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":341.7135,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":227.6112,"elapsed_within_tithi_degrees":11.6112},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":341.7135,"elapsed_within_degrees":8.3801},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":95.8157},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.073,"elongation":132.389},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.073,"opposition_distance":47.611}},"eclipse_window_40days":[{"offset_days":-4,"type":"lunar","occurs":true,"moon_latitude":-0.866,"opposition_distance":2.572},{"offset_days":12,"type":"solar","occurs":true,"moon_latitude":-0.767,"elongation":2.226}]},"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":"05:42","sunsetLocal":"19:01","solarNoonLocal":"12:21","dayLengthHours":13.30391505843864,"dayLengthDisplay":"13 Hours 18 Mins 14 Secs","nightLengthDisplay":"10 Hours 41 Mins 46 Secs","moonriseLocal":"21:20","moonsetLocal":"09:39","rahuKala":{"name":"Rāhu Kāla","start":"09:02","end":"10:42","startHours":9.032206581027266,"endHours":10.695195963332097,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:01","end":"15:41","startHours":14.021174727941755,"endHours":15.684164110246586,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:42","end":"07:22","startHours":5.706227816417606,"endHours":7.369217198722436,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:49","end":"09:15","startHours":8.810474663386621,"endHours":9.25393849866791,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:16","end":"06:37","startHours":6.260557610519216,"endHours":6.6153286787442465,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:48","startHours":11.914721510355639,"endHours":12.801649180918213,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:56","end":"04:49","startHours":3.9323724752924534,"endHours":4.8193001458550295,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:36","end":"05:42","startHours":4.597568228214386,"endHours":5.706227816417606,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:35","end":"15:28","startHours":14.575504522043365,"endHours":15.462432192605942,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:49","end":"19:13","startHours":18.810142874856247,"endHours":19.210142874856245,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:01","end":"19:34","startHours":19.010142874856246,"endHours":19.564472668957855,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:46","end":"20:31","startHours":18.760142874856246,"endHours":20.510142874856246,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:48","startHours":23.914721510355637,"endHours":24.801649180918215,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:42","end":"07:22","startHours":5.706227816417606,"endHours":7.369217198722436,"quality":"inauspicious"},{"name":"Śubha","start":"07:22","end":"09:02","startHours":7.369217198722436,"endHours":9.032206581027266,"quality":"auspicious"},{"name":"Roga","start":"09:02","end":"10:42","startHours":9.032206581027266,"endHours":10.695195963332097,"quality":"inauspicious"},{"name":"Udveg","start":"10:42","end":"12:21","startHours":10.695195963332097,"endHours":12.358185345636926,"quality":"inauspicious"},{"name":"Chala","start":"12:21","end":"14:01","startHours":12.358185345636926,"endHours":14.021174727941755,"quality":"neutral"},{"name":"Labha","start":"14:01","end":"15:41","startHours":14.021174727941755,"endHours":15.684164110246586,"quality":"auspicious"},{"name":"Amṛta","start":"15:41","end":"17:21","startHours":15.684164110246586,"endHours":17.347153492551417,"quality":"auspicious"},{"name":"Kāla","start":"17:21","end":"19:01","startHours":17.347153492551417,"endHours":19.010142874856246,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:01","end":"20:21","startHours":19.010142874856246,"endHours":20.347153492551417,"quality":"auspicious"},{"name":"Amṛta","start":"20:21","end":"21:41","startHours":20.347153492551417,"endHours":21.684164110246584,"quality":"auspicious"},{"name":"Kāla","start":"21:41","end":"23:01","startHours":21.684164110246584,"endHours":23.021174727941755,"quality":"inauspicious"},{"name":"Śubha","start":"23:01","end":"00:21","startHours":23.021174727941755,"endHours":24.358185345636926,"quality":"auspicious"},{"name":"Roga","start":"00:21","end":"01:42","startHours":24.358185345636926,"endHours":25.695195963332097,"quality":"inauspicious"},{"name":"Udveg","start":"01:42","end":"03:02","startHours":25.695195963332097,"endHours":27.032206581027268,"quality":"inauspicious"},{"name":"Chala","start":"03:02","end":"04:22","startHours":27.032206581027268,"endHours":28.369217198722435,"quality":"neutral"},{"name":"Labha","start":"04:22","end":"05:42","startHours":28.369217198722435,"endHours":29.706227816417606,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:42","end":"06:42","startHours":5.706227816417606,"endHours":6.706227816417606,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:42","end":"07:42","startHours":6.706227816417606,"endHours":7.706227816417606,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:42","end":"08:42","startHours":7.706227816417606,"endHours":8.706227816417606,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:42","end":"09:42","startHours":8.706227816417606,"endHours":9.706227816417606,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:42","end":"10:42","startHours":9.706227816417606,"endHours":10.706227816417606,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:42","end":"11:42","startHours":10.706227816417606,"endHours":11.706227816417606,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:42","end":"12:42","startHours":11.706227816417606,"endHours":12.706227816417606,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:42","end":"13:42","startHours":12.706227816417606,"endHours":13.706227816417606,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:42","end":"14:42","startHours":13.706227816417606,"endHours":14.706227816417606,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:42","end":"15:42","startHours":14.706227816417606,"endHours":15.706227816417606,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:42","end":"16:42","startHours":15.706227816417606,"endHours":16.706227816417606,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:42","end":"17:42","startHours":16.706227816417606,"endHours":17.706227816417606,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:42","end":"18:42","startHours":17.706227816417606,"endHours":18.706227816417606,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:42","end":"19:42","startHours":18.706227816417606,"endHours":19.706227816417606,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:42","end":"20:42","startHours":19.706227816417606,"endHours":20.706227816417606,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:42","end":"21:42","startHours":20.706227816417606,"endHours":21.706227816417606,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:42","end":"22:42","startHours":21.706227816417606,"endHours":22.706227816417606,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:42","end":"23:42","startHours":22.706227816417606,"endHours":23.706227816417606,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:42","end":"00:42","startHours":23.706227816417606,"endHours":24.706227816417606,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:42","end":"01:42","startHours":24.706227816417606,"endHours":25.706227816417606,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:42","end":"02:42","startHours":25.706227816417606,"endHours":26.706227816417606,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:42","end":"03:42","startHours":26.706227816417606,"endHours":27.706227816417606,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:42","end":"04:42","startHours":27.706227816417606,"endHours":28.706227816417606,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:42","end":"05:42","startHours":28.706227816417606,"endHours":29.706227816417606,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Mausala","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":14.744823698567751,"eotMinutes":-4.561520738215509,"ayanamsa":25.2725}},"calendars":{"vikram_samvat":2158,"vikram_samvatsara":"Bhāva","saka_samvat":2023,"saka_samvatsara":"Durmati","bengali_samvat":1508,"malayalam_era":1277,"nanakshahi_year":632,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Caturthī · Vikram 2158 Bhāva · Śaka 2023 Durmati"},"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":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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 August 13, 2101 CE · Ṛṣikeśa · Vidhyamitra","description":"August 13, 2101 CE for Ṛṣikeśa: Kṛṣṇa Caturthī, sūryodaya 05:42, sūryāsta 19:01.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2101-08-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2101-08-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2101-08-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2101-08-13","x-default":"https://vidhyamitra.com/city/rishikesh/2101-08-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T02:46:18.785Z","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":"2026-05-21T02:46:18.785Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-21T02:46:18.785Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}