{"id":"vidhyamitra:city-day:rishikesh:2121-07-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2121-07-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2121-07-21","date_display":"July 21, 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":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495940.770833,"kali_year":5223,"ahargana":1907475.2708,"sun":{"sidereal_longitude":92.0741,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":165.8522,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":73.778,"elapsed_within_tithi_degrees":1.778},"nakshatra":{"number":13,"name":"Hasta","pada":2,"moon_longitude":165.8522,"elapsed_within_degrees":5.8522},"yoga":{"number":20,"name":"Śiva","sum_longitude":257.9263},"karana":{"half_tithi_index":12,"name":"Gara"},"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":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495940.770833,"ahargana":1907475.2708,"kali_year":5223,"ayanamsa_lahiri":25.551,"grahas":{"sun":{"sidereal_longitude":92.82356500000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"moon":{"sidereal_longitude":162.99456499999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false,"latitude":-4.3046},"mars":{"sidereal_longitude":151.83256500000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":101.02586500000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":100.84646500000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"venus":{"sidereal_longitude":56.33666500000004,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":73.84026499999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":272.7807,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":92.7807,"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":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495940.770833,"kali_year":5223,"ahargana":1907475.2708,"sun":{"sidereal_longitude":92.0741,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":165.8522,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":73.778,"elapsed_within_tithi_degrees":1.778},"nakshatra":{"number":13,"name":"Hasta","pada":2,"moon_longitude":165.8522,"elapsed_within_degrees":5.8522},"yoga":{"number":20,"name":"Śiva","sum_longitude":257.9263},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.305,"elongation":73.778},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.305,"opposition_distance":106.222}},"eclipse_window_40days":[{"offset_days":9,"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":"05:29","sunsetLocal":"19:17","solarNoonLocal":"12:23","dayLengthHours":13.807287462024485,"dayLengthDisplay":"13 Hours 48 Mins 26 Secs","nightLengthDisplay":"10 Hours 11 Mins 34 Secs","moonriseLocal":"11:09","moonsetLocal":"22:59","rahuKala":{"name":"Rāhu Kāla","start":"07:12","end":"08:56","startHours":7.205257258995551,"endHours":8.931168191748611,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:39","end":"12:23","startHours":10.657079124501672,"endHours":12.382990057254734,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:07","end":"15:50","startHours":14.108900990007793,"endHours":15.834811922760855,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:42","end":"09:10","startHours":8.701046734048203,"endHours":9.16128964944902,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:03","end":"06:25","startHours":6.054649970493511,"endHours":6.4228443028141635,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:51","startHours":11.922747141853918,"endHours":12.84323297265555,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:38","end":"04:34","startHours":3.6383746646392257,"endHours":4.558860495440858,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:20","end":"05:29","startHours":4.3287390377404495,"endHours":5.47934632624249,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:41","end":"15:36","startHours":14.684204634258814,"endHours":15.604690465060447,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.086633788266976,"endHours":19.486633788266975,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:52","startHours":19.286633788266975,"endHours":19.861937432517994,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.036633788266975,"endHours":20.786633788266975,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:51","startHours":23.922747141853918,"endHours":24.84323297265555,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:29","end":"07:12","startHours":5.47934632624249,"endHours":7.205257258995551,"quality":"auspicious"},{"name":"Kāla","start":"07:12","end":"08:56","startHours":7.205257258995551,"endHours":8.931168191748611,"quality":"inauspicious"},{"name":"Śubha","start":"08:56","end":"10:39","startHours":8.931168191748611,"endHours":10.657079124501672,"quality":"auspicious"},{"name":"Roga","start":"10:39","end":"12:23","startHours":10.657079124501672,"endHours":12.382990057254734,"quality":"inauspicious"},{"name":"Udveg","start":"12:23","end":"14:07","startHours":12.382990057254734,"endHours":14.108900990007793,"quality":"inauspicious"},{"name":"Chala","start":"14:07","end":"15:50","startHours":14.108900990007793,"endHours":15.834811922760855,"quality":"neutral"},{"name":"Labha","start":"15:50","end":"17:34","startHours":15.834811922760855,"endHours":17.560722855513916,"quality":"auspicious"},{"name":"Amṛta","start":"17:34","end":"19:17","startHours":17.560722855513916,"endHours":19.286633788266975,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:17","end":"20:34","startHours":19.286633788266975,"endHours":20.560722855513916,"quality":"neutral"},{"name":"Labha","start":"20:34","end":"21:50","startHours":20.560722855513916,"endHours":21.834811922760853,"quality":"auspicious"},{"name":"Amṛta","start":"21:50","end":"23:07","startHours":21.834811922760853,"endHours":23.108900990007793,"quality":"auspicious"},{"name":"Kāla","start":"23:07","end":"00:23","startHours":23.108900990007793,"endHours":24.382990057254734,"quality":"inauspicious"},{"name":"Śubha","start":"00:23","end":"01:39","startHours":24.382990057254734,"endHours":25.65707912450167,"quality":"auspicious"},{"name":"Roga","start":"01:39","end":"02:56","startHours":25.65707912450167,"endHours":26.93116819174861,"quality":"inauspicious"},{"name":"Udveg","start":"02:56","end":"04:12","startHours":26.93116819174861,"endHours":28.20525725899555,"quality":"inauspicious"},{"name":"Chala","start":"04:12","end":"05:29","startHours":28.20525725899555,"endHours":29.479346326242492,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:29","end":"06:29","startHours":5.47934632624249,"endHours":6.47934632624249,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:29","end":"07:29","startHours":6.47934632624249,"endHours":7.47934632624249,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:29","end":"08:29","startHours":7.47934632624249,"endHours":8.47934632624249,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:29","end":"09:29","startHours":8.47934632624249,"endHours":9.47934632624249,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:29","end":"10:29","startHours":9.47934632624249,"endHours":10.47934632624249,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:29","end":"11:29","startHours":10.47934632624249,"endHours":11.47934632624249,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:29","end":"12:29","startHours":11.47934632624249,"endHours":12.47934632624249,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:29","end":"13:29","startHours":12.47934632624249,"endHours":13.47934632624249,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:29","end":"14:29","startHours":13.47934632624249,"endHours":14.47934632624249,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:29","end":"15:29","startHours":14.47934632624249,"endHours":15.47934632624249,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:29","end":"16:29","startHours":15.47934632624249,"endHours":16.479346326242492,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:29","end":"17:29","startHours":16.479346326242492,"endHours":17.479346326242492,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:29","end":"18:29","startHours":17.479346326242492,"endHours":18.479346326242492,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:29","end":"19:29","startHours":18.479346326242492,"endHours":19.479346326242492,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:29","end":"20:29","startHours":19.479346326242492,"endHours":20.479346326242492,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:29","end":"21:29","startHours":20.479346326242492,"endHours":21.479346326242492,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:29","end":"22:29","startHours":21.479346326242492,"endHours":22.479346326242492,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:29","end":"23:29","startHours":22.479346326242492,"endHours":23.479346326242492,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:29","end":"00:29","startHours":23.479346326242492,"endHours":24.479346326242492,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:29","end":"01:29","startHours":24.479346326242492,"endHours":25.479346326242492,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:29","end":"02:29","startHours":25.479346326242492,"endHours":26.479346326242492,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:29","end":"03:29","startHours":26.479346326242492,"endHours":27.479346326242492,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:29","end":"04:29","startHours":27.479346326242492,"endHours":28.479346326242492,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:29","end":"05:29","startHours":28.479346326242492,"endHours":29.479346326242492,"planetary_lord":"Venus"}],"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":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"drikRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":20.484179557110455,"eotMinutes":-6.049803435283957,"ayanamsa":25.551}},"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 Saptamī · 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}],"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 21, 2121 CE · Ṛṣikeśa · Vidhyamitra","description":"July 21, 2121 CE for Ṛṣikeśa: Śukla Saptamī, sūryodaya 05:29, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2121-07-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2121-07-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/2121-07-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/2121-07-21","x-default":"https://vidhyamitra.com/city/rishikesh/2121-07-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T13:19:49.441Z","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":"2026-05-22T13:19:49.441Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T13:19:49.441Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}