{"id":"vidhyamitra:city-day:indore:2121-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/indore/2121-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2121-07-13","date_display":"July 13, 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":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495932.770833,"kali_year":5223,"ahargana":1907467.2708,"sun":{"sidereal_longitude":84.4965,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":65.9869,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":341.4904,"elapsed_within_tithi_degrees":5.4904},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":65.9869,"elapsed_within_degrees":12.6535},"yoga":{"number":12,"name":"Dhruva","sum_longitude":150.4834},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495932.770833,"ahargana":1907467.2708,"kali_year":5223,"ayanamsa_lahiri":25.5507,"grahas":{"sun":{"sidereal_longitude":85.19177100000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":65.87147099999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false,"latitude":2.0565},"mars":{"sidereal_longitude":147.173771,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":84.43947100000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":99.09857099999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"venus":{"sidereal_longitude":46.961370999999986,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":72.82337100000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":273.2046,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":93.2046,"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":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495932.770833,"kali_year":5223,"ahargana":1907467.2708,"sun":{"sidereal_longitude":84.4965,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":65.9869,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":341.4904,"elapsed_within_tithi_degrees":5.4904},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":65.9869,"elapsed_within_degrees":12.6535},"yoga":{"number":12,"name":"Dhruva","sum_longitude":150.4834},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.057,"elongation":18.51},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.057,"opposition_distance":161.49}},"eclipse_window_40days":[{"offset_days":17,"type":"lunar","occurs":true,"moon_latitude":0.554,"opposition_distance":1.232}]},"city":{"slug":"indore","name":"Indore, Madhya Pradesh","lat":22.7196,"lon":75.8577,"tz_offset_hours":5.5,"state":"Madhya Pradesh","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"indore","name":"Indore, Madhya Pradesh","lat":22.7196,"lon":75.8577,"tz_offset_hours":5.5,"state":"Madhya Pradesh","country":"IN","tier":"tier-1"},"sunriseLocal":"05:49","sunsetLocal":"19:15","solarNoonLocal":"12:32","dayLengthHours":13.419599404014264,"dayLengthDisplay":"13 Hours 25 Mins 11 Secs","nightLengthDisplay":"10 Hours 34 Mins 49 Secs","moonriseLocal":"04:30","moonsetLocal":"17:59","rahuKala":{"name":"Rāhu Kāla","start":"17:34","end":"19:15","startHours":17.56452692394136,"endHours":19.241976849443144,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:32","end":"14:13","startHours":12.532177147436013,"endHours":14.209627072937796,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:53","end":"17:34","startHours":15.887076998439579,"endHours":17.56452692394136,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:57","end":"09:24","startHours":8.95361730636554,"endHours":9.40093728649935,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:23","end":"06:44","startHours":6.381527420596141,"endHours":6.739383404703188,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:59","startHours":12.084857167302204,"endHours":12.979497127569822,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:02","end":"04:56","startHours":4.033097524893645,"endHours":4.927737485161263,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:42","end":"05:49","startHours":4.704077495094358,"endHours":5.82237744542888,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:46","end":"15:40","startHours":14.768777048105058,"endHours":15.663417008372676,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:03","end":"19:27","startHours":19.041976849443145,"endHours":19.441976849443144,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:15","end":"19:48","startHours":19.241976849443144,"endHours":19.801126824610407,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:00","end":"20:45","startHours":18.991976849443144,"endHours":20.741976849443144,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:59","startHours":24.084857167302204,"endHours":24.97949712756982,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:49","end":"07:30","startHours":5.82237744542888,"endHours":7.499827370930663,"quality":"inauspicious"},{"name":"Chala","start":"07:30","end":"09:11","startHours":7.499827370930663,"endHours":9.177277296432447,"quality":"neutral"},{"name":"Labha","start":"09:11","end":"10:51","startHours":9.177277296432447,"endHours":10.85472722193423,"quality":"auspicious"},{"name":"Amṛta","start":"10:51","end":"12:32","startHours":10.85472722193423,"endHours":12.532177147436013,"quality":"auspicious"},{"name":"Kāla","start":"12:32","end":"14:13","startHours":12.532177147436013,"endHours":14.209627072937796,"quality":"inauspicious"},{"name":"Śubha","start":"14:13","end":"15:53","startHours":14.209627072937796,"endHours":15.887076998439579,"quality":"auspicious"},{"name":"Roga","start":"15:53","end":"17:34","startHours":15.887076998439579,"endHours":17.56452692394136,"quality":"inauspicious"},{"name":"Udveg","start":"17:34","end":"19:15","startHours":17.56452692394136,"endHours":19.241976849443144,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:15","end":"20:34","startHours":19.241976849443144,"endHours":20.56452692394136,"quality":"auspicious"},{"name":"Roga","start":"20:34","end":"21:53","startHours":20.56452692394136,"endHours":21.88707699843958,"quality":"inauspicious"},{"name":"Udveg","start":"21:53","end":"23:13","startHours":21.88707699843958,"endHours":23.209627072937796,"quality":"inauspicious"},{"name":"Chala","start":"23:13","end":"00:32","startHours":23.209627072937796,"endHours":24.532177147436013,"quality":"neutral"},{"name":"Labha","start":"00:32","end":"01:51","startHours":24.532177147436013,"endHours":25.85472722193423,"quality":"auspicious"},{"name":"Amṛta","start":"01:51","end":"03:11","startHours":25.85472722193423,"endHours":27.177277296432447,"quality":"auspicious"},{"name":"Kāla","start":"03:11","end":"04:30","startHours":27.177277296432447,"endHours":28.499827370930664,"quality":"inauspicious"},{"name":"Śubha","start":"04:30","end":"05:49","startHours":28.499827370930664,"endHours":29.82237744542888,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:49","end":"06:49","startHours":5.82237744542888,"endHours":6.82237744542888,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:49","end":"07:49","startHours":6.82237744542888,"endHours":7.82237744542888,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:49","end":"08:49","startHours":7.82237744542888,"endHours":8.82237744542888,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:49","end":"09:49","startHours":8.82237744542888,"endHours":9.82237744542888,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:49","end":"10:49","startHours":9.82237744542888,"endHours":10.82237744542888,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:49","end":"11:49","startHours":10.82237744542888,"endHours":11.82237744542888,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:49","end":"12:49","startHours":11.82237744542888,"endHours":12.82237744542888,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:49","end":"13:49","startHours":12.82237744542888,"endHours":13.82237744542888,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:49","end":"14:49","startHours":13.82237744542888,"endHours":14.82237744542888,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:49","end":"15:49","startHours":14.82237744542888,"endHours":15.82237744542888,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:49","end":"16:49","startHours":15.82237744542888,"endHours":16.82237744542888,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:49","end":"17:49","startHours":16.82237744542888,"endHours":17.82237744542888,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:49","end":"18:49","startHours":17.82237744542888,"endHours":18.82237744542888,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:49","end":"19:49","startHours":18.82237744542888,"endHours":19.82237744542888,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:49","end":"20:49","startHours":19.82237744542888,"endHours":20.82237744542888,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:49","end":"21:49","startHours":20.82237744542888,"endHours":21.82237744542888,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:49","end":"22:49","startHours":21.82237744542888,"endHours":22.82237744542888,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:49","end":"23:49","startHours":22.82237744542888,"endHours":23.82237744542888,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:49","end":"00:49","startHours":23.82237744542888,"endHours":24.82237744542888,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:49","end":"01:49","startHours":24.82237744542888,"endHours":25.82237744542888,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:49","end":"02:49","startHours":25.82237744542888,"endHours":26.82237744542888,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:49","end":"03:49","startHours":26.82237744542888,"endHours":27.82237744542888,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:49","end":"04:49","startHours":27.82237744542888,"endHours":28.82237744542888,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:49","end":"05:49","startHours":28.82237744542888,"endHours":29.82237744542888,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.83606141578632,"eotMinutes":-5.361428846160681,"ayanamsa":25.5507}},"calendars":{"vikram_samvat":2178,"vikram_samvatsara":"Jaya","saka_samvat":2043,"saka_samvatsara":"Vṛṣa","bengali_samvat":1528,"malayalam_era":1297,"nanakshahi_year":652,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Caturdaśī · Vikram 2178 Jaya · Śaka 2043 Vṛṣa"},"festivals":[{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"indore"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 13, 2121 CE · Indore, Madhya Pradesh · Vidhyamitra","description":"July 13, 2121 CE for Indore, Madhya Pradesh: Kṛṣṇa Caturdaśī, sūryodaya 05:49, sūryāsta 19:15.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/indore/2121-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/indore/2121-07-13","sa":"https://sa.vidhyamitra.com/city/indore/2121-07-13","hi":"https://hi.vidhyamitra.com/city/indore/2121-07-13","x-default":"https://vidhyamitra.com/city/indore/2121-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T19:55:48.784Z","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":"2026-05-31T19:55:48.784Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T19:55:48.784Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}