{"id":"vidhyamitra:city-day:rishikesh:2121-07-28:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2121-07-28","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2121-07-28","date_display":"July 28, 2121 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":2121,"month":7,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495947.770833,"kali_year":5223,"ahargana":1907482.2708,"sun":{"sidereal_longitude":98.7129,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":251.8254,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":153.1124,"elapsed_within_tithi_degrees":9.1124},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":251.8254,"elapsed_within_degrees":11.8254},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":350.5383},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2121,"month":7,"day":28,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495947.770833,"ahargana":1907482.2708,"kali_year":5223,"ayanamsa_lahiri":25.5512,"grahas":{"sun":{"sidereal_longitude":99.50709799999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"moon":{"sidereal_longitude":252.49399800000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false,"latitude":-1.5807},"mars":{"sidereal_longitude":155.99479799999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":114.13039800000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":102.38869799999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"venus":{"sidereal_longitude":64.60269799999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":74.70959800000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":272.4098,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":92.4098,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","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":2121,"month":7,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495947.770833,"kali_year":5223,"ahargana":1907482.2708,"sun":{"sidereal_longitude":98.7129,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":251.8254,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":153.1124,"elapsed_within_tithi_degrees":9.1124},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":251.8254,"elapsed_within_degrees":11.8254},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":350.5383},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.581,"elongation":153.112},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.581,"opposition_distance":26.888}},"eclipse_window_40days":[{"offset_days":2,"type":"lunar","occurs":true,"moon_latitude":0.554,"opposition_distance":1.232}]},"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":"05:33","sunsetLocal":"19:13","solarNoonLocal":"12:23","dayLengthHours":13.67313823565555,"dayLengthDisplay":"13 Hours 40 Mins 23 Secs","nightLengthDisplay":"10 Hours 19 Mins 37 Secs","moonriseLocal":"17:30","moonsetLocal":"03:41","rahuKala":{"name":"Rāhu Kāla","start":"07:15","end":"08:58","startHours":7.257572372902522,"endHours":8.966714652359466,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:41","end":"12:23","startHours":10.675856931816408,"endHours":12.384999211273353,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:06","end":"15:48","startHours":14.094141490730298,"endHours":15.80328377018724,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:44","end":"09:12","startHours":8.73882901509854,"endHours":9.194600289620391,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:07","end":"06:29","startHours":6.118144186597893,"endHours":6.482761206215374,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:50","startHours":11.929227936751502,"endHours":12.840770485795204,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:44","end":"04:38","startHours":3.7253449953581717,"endHours":4.6368875444018745,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:25","end":"05:33","startHours":4.409001907140949,"endHours":5.548430093445578,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:40","end":"15:35","startHours":14.663855583882611,"endHours":15.575398132926315,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:01","end":"19:25","startHours":19.02156832910113,"endHours":19.421568329101127,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:13","end":"19:47","startHours":19.221568329101128,"endHours":19.791282422253442,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:58","end":"20:43","startHours":18.971568329101128,"endHours":20.721568329101128,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:50","startHours":23.929227936751502,"endHours":24.840770485795204,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:33","end":"07:15","startHours":5.548430093445578,"endHours":7.257572372902522,"quality":"auspicious"},{"name":"Kāla","start":"07:15","end":"08:58","startHours":7.257572372902522,"endHours":8.966714652359466,"quality":"inauspicious"},{"name":"Śubha","start":"08:58","end":"10:41","startHours":8.966714652359466,"endHours":10.675856931816408,"quality":"auspicious"},{"name":"Roga","start":"10:41","end":"12:23","startHours":10.675856931816408,"endHours":12.384999211273353,"quality":"inauspicious"},{"name":"Udveg","start":"12:23","end":"14:06","startHours":12.384999211273353,"endHours":14.094141490730298,"quality":"inauspicious"},{"name":"Chala","start":"14:06","end":"15:48","startHours":14.094141490730298,"endHours":15.80328377018724,"quality":"neutral"},{"name":"Labha","start":"15:48","end":"17:31","startHours":15.80328377018724,"endHours":17.512426049644183,"quality":"auspicious"},{"name":"Amṛta","start":"17:31","end":"19:13","startHours":17.512426049644183,"endHours":19.221568329101128,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:13","end":"20:31","startHours":19.221568329101128,"endHours":20.512426049644183,"quality":"neutral"},{"name":"Labha","start":"20:31","end":"21:48","startHours":20.512426049644183,"endHours":21.803283770187242,"quality":"auspicious"},{"name":"Amṛta","start":"21:48","end":"23:06","startHours":21.803283770187242,"endHours":23.094141490730298,"quality":"auspicious"},{"name":"Kāla","start":"23:06","end":"00:23","startHours":23.094141490730298,"endHours":24.384999211273353,"quality":"inauspicious"},{"name":"Śubha","start":"00:23","end":"01:41","startHours":24.384999211273353,"endHours":25.67585693181641,"quality":"auspicious"},{"name":"Roga","start":"01:41","end":"02:58","startHours":25.67585693181641,"endHours":26.966714652359464,"quality":"inauspicious"},{"name":"Udveg","start":"02:58","end":"04:15","startHours":26.966714652359464,"endHours":28.257572372902523,"quality":"inauspicious"},{"name":"Chala","start":"04:15","end":"05:33","startHours":28.257572372902523,"endHours":29.548430093445578,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.548430093445578,"endHours":6.548430093445578,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.548430093445578,"endHours":7.548430093445578,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.548430093445578,"endHours":8.548430093445578,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.548430093445578,"endHours":9.548430093445578,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.548430093445578,"endHours":10.548430093445578,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.548430093445578,"endHours":11.548430093445578,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.548430093445578,"endHours":12.548430093445578,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.548430093445578,"endHours":13.548430093445578,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.548430093445578,"endHours":14.548430093445578,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.548430093445578,"endHours":15.548430093445578,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.548430093445578,"endHours":16.548430093445578,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.548430093445578,"endHours":17.548430093445578,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.548430093445578,"endHours":18.548430093445578,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.548430093445578,"endHours":19.548430093445578,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.548430093445578,"endHours":20.548430093445578,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.548430093445578,"endHours":21.548430093445578,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.548430093445578,"endHours":22.548430093445578,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.548430093445578,"endHours":23.548430093445578,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.548430093445578,"endHours":24.548430093445578,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.548430093445578,"endHours":25.548430093445578,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.548430093445578,"endHours":26.548430093445578,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.548430093445578,"endHours":27.548430093445578,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.548430093445578,"endHours":28.548430093445578,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.548430093445578,"endHours":29.548430093445578,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","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":"North-East","anandadiYoga":{"name":"Gada","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":19.00017664997941,"eotMinutes":-6.170352676401169,"ayanamsa":25.5512}},"calendars":{"vikram_samvat":2178,"vikram_samvatsara":"Jaya","saka_samvat":2043,"saka_samvatsara":"Vṛṣa","bengali_samvat":1528,"malayalam_era":1297,"nanakshahi_year":652,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Trayodaśī · Vikram 2178 Jaya · Śaka 2043 Vṛṣa"},"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":"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 28, 2121 CE · Ṛṣikeśa · Vidhyamitra","description":"July 28, 2121 CE for Ṛṣikeśa: Śukla Trayodaśī, sūryodaya 05:33, sūryāsta 19:13.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2121-07-28","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2121-07-28","sa":"https://sa.vidhyamitra.com/city/rishikesh/2121-07-28","hi":"https://hi.vidhyamitra.com/city/rishikesh/2121-07-28","x-default":"https://vidhyamitra.com/city/rishikesh/2121-07-28"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T11:04:17.034Z","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":"2026-05-22T11:04:17.034Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T11:04:17.034Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}