{"id":"vidhyamitra:city-day:rishikesh:2110-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2110-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2110-05-13","date_display":"May 13, 2110 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":2110,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491853.770833,"kali_year":5212,"ahargana":1903388.2708,"sun":{"sidereal_longitude":26.3647,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":318.2658,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":291.9011,"elapsed_within_tithi_degrees":3.9011},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":318.2658,"elapsed_within_degrees":11.5992},"yoga":{"number":26,"name":"Indra","sum_longitude":344.6306},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"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":2110,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2491853.770833,"ahargana":1903388.2708,"kali_year":5212,"ayanamsa_lahiri":25.3947,"grahas":{"sun":{"sidereal_longitude":26.617218999999977,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":320.8611189999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false,"latitude":-0.6983},"mars":{"sidereal_longitude":198.284219,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":0.6988190000000145,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":111.398819,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":349.650219,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":295.665619,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":129.3297,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":309.3297,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"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":2110,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491853.770833,"kali_year":5212,"ahargana":1903388.2708,"sun":{"sidereal_longitude":26.3647,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":318.2658,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":291.9011,"elapsed_within_tithi_degrees":3.9011},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":318.2658,"elapsed_within_degrees":11.5992},"yoga":{"number":26,"name":"Indra","sum_longitude":344.6306},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.698,"elongation":68.099},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.698,"opposition_distance":111.901}},"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":"05:25","sunsetLocal":"19:01","solarNoonLocal":"12:13","dayLengthHours":13.60809997267673,"dayLengthDisplay":"13 Hours 36 Mins 29 Secs","nightLengthDisplay":"10 Hours 23 Mins 31 Secs","moonriseLocal":"02:00","moonsetLocal":"13:40","rahuKala":{"name":"Rāhu Kāla","start":"15:37","end":"17:19","startHours":15.621627680776577,"endHours":17.32264017736117,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:49","end":"10:31","startHours":8.817577694438212,"endHours":10.518590191022803,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:13","end":"13:55","startHours":12.219602687607395,"endHours":13.920615184191984,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:35","end":"09:03","startHours":8.590776028226934,"endHours":9.04437936064949,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:59","end":"06:21","startHours":5.982556866797227,"endHours":6.345439532735273,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:40","startHours":11.765999355184835,"endHours":12.673206020029951,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:36","end":"04:31","startHours":3.6011393715787987,"endHours":4.508346036423914,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:17","end":"05:25","startHours":4.281544370212636,"endHours":5.415552701269029,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:24","startHours":14.48761934972018,"endHours":15.394826014565295,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:49","end":"19:13","startHours":18.82365267394576,"endHours":19.223652673945757,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:01","end":"19:35","startHours":19.023652673945758,"endHours":19.590656839473954,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:46","end":"20:31","startHours":18.773652673945758,"endHours":20.523652673945758,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:40","startHours":23.765999355184835,"endHours":24.673206020029948,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:25","end":"07:07","startHours":5.415552701269029,"endHours":7.116565197853621,"quality":"inauspicious"},{"name":"Udveg","start":"07:07","end":"08:49","startHours":7.116565197853621,"endHours":8.817577694438212,"quality":"inauspicious"},{"name":"Chala","start":"08:49","end":"10:31","startHours":8.817577694438212,"endHours":10.518590191022803,"quality":"neutral"},{"name":"Labha","start":"10:31","end":"12:13","startHours":10.518590191022803,"endHours":12.219602687607395,"quality":"auspicious"},{"name":"Amṛta","start":"12:13","end":"13:55","startHours":12.219602687607395,"endHours":13.920615184191984,"quality":"auspicious"},{"name":"Kāla","start":"13:55","end":"15:37","startHours":13.920615184191984,"endHours":15.621627680776577,"quality":"inauspicious"},{"name":"Śubha","start":"15:37","end":"17:19","startHours":15.621627680776577,"endHours":17.32264017736117,"quality":"auspicious"},{"name":"Roga","start":"17:19","end":"19:01","startHours":17.32264017736117,"endHours":19.023652673945758,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:01","end":"20:19","startHours":19.023652673945758,"endHours":20.322640177361166,"quality":"inauspicious"},{"name":"Śubha","start":"20:19","end":"21:37","startHours":20.322640177361166,"endHours":21.621627680776577,"quality":"auspicious"},{"name":"Roga","start":"21:37","end":"22:55","startHours":21.621627680776577,"endHours":22.920615184191984,"quality":"inauspicious"},{"name":"Udveg","start":"22:55","end":"00:13","startHours":22.920615184191984,"endHours":24.21960268760739,"quality":"inauspicious"},{"name":"Chala","start":"00:13","end":"01:31","startHours":24.21960268760739,"endHours":25.518590191022803,"quality":"neutral"},{"name":"Labha","start":"01:31","end":"02:49","startHours":25.518590191022803,"endHours":26.81757769443821,"quality":"auspicious"},{"name":"Amṛta","start":"02:49","end":"04:07","startHours":26.81757769443821,"endHours":28.116565197853618,"quality":"auspicious"},{"name":"Kāla","start":"04:07","end":"05:25","startHours":28.116565197853618,"endHours":29.41555270126903,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:25","end":"06:25","startHours":5.415552701269029,"endHours":6.415552701269029,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:25","end":"07:25","startHours":6.415552701269029,"endHours":7.415552701269029,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:25","end":"08:25","startHours":7.415552701269029,"endHours":8.415552701269029,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:25","end":"09:25","startHours":8.415552701269029,"endHours":9.415552701269029,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:25","end":"10:25","startHours":9.415552701269029,"endHours":10.415552701269029,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:25","end":"11:25","startHours":10.415552701269029,"endHours":11.415552701269029,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:25","end":"12:25","startHours":11.415552701269029,"endHours":12.415552701269029,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:25","end":"13:25","startHours":12.415552701269029,"endHours":13.415552701269029,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:25","end":"14:25","startHours":13.415552701269029,"endHours":14.415552701269029,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:25","end":"15:25","startHours":14.415552701269029,"endHours":15.415552701269029,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:25","end":"16:25","startHours":15.415552701269029,"endHours":16.41555270126903,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:25","end":"17:25","startHours":16.41555270126903,"endHours":17.41555270126903,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:25","end":"18:25","startHours":17.41555270126903,"endHours":18.41555270126903,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:25","end":"19:25","startHours":18.41555270126903,"endHours":19.41555270126903,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:25","end":"20:25","startHours":19.41555270126903,"endHours":20.41555270126903,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:25","end":"21:25","startHours":20.41555270126903,"endHours":21.41555270126903,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:25","end":"22:25","startHours":21.41555270126903,"endHours":22.41555270126903,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:25","end":"23:25","startHours":22.41555270126903,"endHours":23.41555270126903,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:25","end":"00:25","startHours":23.41555270126903,"endHours":24.41555270126903,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:25","end":"01:25","startHours":24.41555270126903,"endHours":25.41555270126903,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:25","end":"02:25","startHours":25.41555270126903,"endHours":26.41555270126903,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:25","end":"03:25","startHours":26.41555270126903,"endHours":27.41555270126903,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:25","end":"04:25","startHours":27.41555270126903,"endHours":28.41555270126903,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:25","end":"05:25","startHours":28.41555270126903,"endHours":29.41555270126903,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.268376552535734,"eotMinutes":3.7534387435564067,"ayanamsa":25.3947}},"calendars":{"vikram_samvat":2167,"vikram_samvatsara":"Subhānu","saka_samvat":2032,"saka_samvatsara":"Pramoda","bengali_samvat":1517,"malayalam_era":1286,"nanakshahi_year":641,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Daśamī · Vikram 2167 Subhānu · Śaka 2032 Pramoda"},"festivals":[],"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 May 13, 2110 CE · Ṛṣikeśa · Vidhyamitra","description":"May 13, 2110 CE for Ṛṣikeśa: Kṛṣṇa Daśamī, sūryodaya 05:25, sūryāsta 19:01.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2110-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2110-05-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2110-05-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2110-05-13","x-default":"https://vidhyamitra.com/city/rishikesh/2110-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T00:55:07.545Z","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":"2026-05-31T00:55:07.545Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T00:55:07.545Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}