{"id":"vidhyamitra:city-day:rishikesh:2154-08-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2154-08-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2154-08-13","date_display":"August 13, 2154 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":2154,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2508016.770833,"kali_year":5256,"ahargana":1919551.2708,"sun":{"sidereal_longitude":113.4211,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":158.693,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":45.2719,"elapsed_within_tithi_degrees":9.2719},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":158.693,"elapsed_within_degrees":12.0263},"yoga":{"number":21,"name":"Siddha","sum_longitude":272.114},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2154,"month":8,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2508016.770833,"ahargana":1919551.2708,"kali_year":5256,"ayanamsa_lahiri":26.0128,"grahas":{"sun":{"sidereal_longitude":114.38617399999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":158.94717400000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false,"latitude":1.1061},"mars":{"sidereal_longitude":75.88457399999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":138.485774,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":34.83407399999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":150.459074,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":true},"saturn":{"sidereal_longitude":119.05837400000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":352.9361,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":172.9361,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":2154,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2508016.770833,"kali_year":5256,"ahargana":1919551.2708,"sun":{"sidereal_longitude":113.4211,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":158.693,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":45.2719,"elapsed_within_tithi_degrees":9.2719},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":158.693,"elapsed_within_degrees":12.0263},"yoga":{"number":21,"name":"Siddha","sum_longitude":272.114},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.106,"elongation":45.272},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.106,"opposition_distance":134.728}},"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":"05:43","sunsetLocal":"19:00","solarNoonLocal":"12:21","dayLengthHours":13.29899037747687,"dayLengthDisplay":"13 Hours 17 Mins 56 Secs","nightLengthDisplay":"10 Hours 42 Mins 04 Secs","moonriseLocal":"09:22","moonsetLocal":"21:18","rahuKala":{"name":"Rāhu Kāla","start":"15:41","end":"17:21","startHours":15.682932940006143,"endHours":17.34530673719075,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:02","end":"10:42","startHours":9.033437751267709,"endHours":10.695811548452316,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:21","end":"14:01","startHours":12.358185345636926,"endHours":14.020559142821533,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:49","end":"09:15","startHours":8.811787911643094,"endHours":9.255087590892323,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:16","end":"06:37","startHours":6.262814755960027,"endHours":6.61745449935941,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:48","startHours":11.914885666387697,"endHours":12.801485024886155,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:56","end":"04:49","startHours":3.9354914399015746,"endHours":4.8220907984000325,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:36","end":"05:43","startHours":4.600440958775418,"endHours":5.7086901568984905,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:34","end":"15:28","startHours":14.57468374188307,"endHours":15.461283100381529,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:48","end":"19:12","startHours":18.80768053437536,"endHours":19.20768053437536,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:00","end":"19:34","startHours":19.00768053437536,"endHours":19.5618051334369,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:45","end":"20:30","startHours":18.75768053437536,"endHours":20.50768053437536,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:48","startHours":23.914885666387697,"endHours":24.801485024886155,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:43","end":"07:22","startHours":5.7086901568984905,"endHours":7.371063954083099,"quality":"inauspicious"},{"name":"Udveg","start":"07:22","end":"09:02","startHours":7.371063954083099,"endHours":9.033437751267709,"quality":"inauspicious"},{"name":"Chala","start":"09:02","end":"10:42","startHours":9.033437751267709,"endHours":10.695811548452316,"quality":"neutral"},{"name":"Labha","start":"10:42","end":"12:21","startHours":10.695811548452316,"endHours":12.358185345636926,"quality":"auspicious"},{"name":"Amṛta","start":"12:21","end":"14:01","startHours":12.358185345636926,"endHours":14.020559142821533,"quality":"auspicious"},{"name":"Kāla","start":"14:01","end":"15:41","startHours":14.020559142821533,"endHours":15.682932940006143,"quality":"inauspicious"},{"name":"Śubha","start":"15:41","end":"17:21","startHours":15.682932940006143,"endHours":17.34530673719075,"quality":"auspicious"},{"name":"Roga","start":"17:21","end":"19:00","startHours":17.34530673719075,"endHours":19.00768053437536,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:00","end":"20:21","startHours":19.00768053437536,"endHours":20.345306737190754,"quality":"inauspicious"},{"name":"Śubha","start":"20:21","end":"21:41","startHours":20.345306737190754,"endHours":21.682932940006143,"quality":"auspicious"},{"name":"Roga","start":"21:41","end":"23:01","startHours":21.682932940006143,"endHours":23.020559142821533,"quality":"inauspicious"},{"name":"Udveg","start":"23:01","end":"00:21","startHours":23.020559142821533,"endHours":24.358185345636926,"quality":"inauspicious"},{"name":"Chala","start":"00:21","end":"01:42","startHours":24.358185345636926,"endHours":25.69581154845232,"quality":"neutral"},{"name":"Labha","start":"01:42","end":"03:02","startHours":25.69581154845232,"endHours":27.03343775126771,"quality":"auspicious"},{"name":"Amṛta","start":"03:02","end":"04:22","startHours":27.03343775126771,"endHours":28.3710639540831,"quality":"auspicious"},{"name":"Kāla","start":"04:22","end":"05:43","startHours":28.3710639540831,"endHours":29.70869015689849,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:43","end":"06:43","startHours":5.7086901568984905,"endHours":6.7086901568984905,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:43","end":"07:43","startHours":6.7086901568984905,"endHours":7.7086901568984905,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:43","end":"08:43","startHours":7.7086901568984905,"endHours":8.708690156898491,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:43","end":"09:43","startHours":8.708690156898491,"endHours":9.708690156898491,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:43","end":"10:43","startHours":9.708690156898491,"endHours":10.708690156898491,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:43","end":"11:43","startHours":10.708690156898491,"endHours":11.708690156898491,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:43","end":"12:43","startHours":11.708690156898491,"endHours":12.708690156898491,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:43","end":"13:43","startHours":12.708690156898491,"endHours":13.708690156898491,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:43","end":"14:43","startHours":13.708690156898491,"endHours":14.708690156898491,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:43","end":"15:43","startHours":14.708690156898491,"endHours":15.708690156898491,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:43","end":"16:43","startHours":15.708690156898491,"endHours":16.70869015689849,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:43","end":"17:43","startHours":16.70869015689849,"endHours":17.70869015689849,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:43","end":"18:43","startHours":17.70869015689849,"endHours":18.70869015689849,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:43","end":"19:43","startHours":18.70869015689849,"endHours":19.70869015689849,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:43","end":"20:43","startHours":19.70869015689849,"endHours":20.70869015689849,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:43","end":"21:43","startHours":20.70869015689849,"endHours":21.70869015689849,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:43","end":"22:43","startHours":21.70869015689849,"endHours":22.70869015689849,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:43","end":"23:43","startHours":22.70869015689849,"endHours":23.70869015689849,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:43","end":"00:43","startHours":23.70869015689849,"endHours":24.70869015689849,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:43","end":"01:43","startHours":24.70869015689849,"endHours":25.70869015689849,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:43","end":"02:43","startHours":25.70869015689849,"endHours":26.70869015689849,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:43","end":"03:43","startHours":26.70869015689849,"endHours":27.70869015689849,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:43","end":"04:43","startHours":27.70869015689849,"endHours":28.70869015689849,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:43","end":"05:43","startHours":28.70869015689849,"endHours":29.70869015689849,"planetary_lord":"Saturn"}],"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":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"North","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":14.686480425949348,"eotMinutes":-4.561520738215509,"ayanamsa":26.0128}},"calendars":{"vikram_samvat":2211,"vikram_samvatsara":"Prabhava","saka_samvat":2076,"saka_samvatsara":"Ānanda","bengali_samvat":1561,"malayalam_era":1330,"nanakshahi_year":685,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Caturthī · Vikram 2211 Prabhava · Śaka 2076 Ānanda"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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, 2154 CE · Ṛṣikeśa · Vidhyamitra","description":"August 13, 2154 CE for Ṛṣikeśa: Śukla Caturthī, sūryodaya 05:43, sūryāsta 19:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2154-08-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2154-08-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2154-08-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2154-08-13","x-default":"https://vidhyamitra.com/city/rishikesh/2154-08-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-29T16:43:32.903Z","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":"2026-05-29T16:43:32.903Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-29T16:43:32.903Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}