{"id":"vidhyamitra:day:2321-05-21:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2321-05-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2321-05-21","date_display":"May 21, 2321 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":2321,"month":5,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2568927.770833,"kali_year":5423,"ahargana":1980462.2708,"sun":{"sidereal_longitude":30.5881,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":310.8907,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":280.3026,"elapsed_within_tithi_degrees":4.3026},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":310.8907,"elapsed_within_degrees":4.224},"yoga":{"number":26,"name":"Indra","sum_longitude":341.4787},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2321,"month":5,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2568927.770833,"ahargana":1980462.2708,"kali_year":5423,"ayanamsa_lahiri":28.3425,"grahas":{"sun":{"sidereal_longitude":31.366625,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":313.878425,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false,"latitude":-3.6708},"mars":{"sidereal_longitude":316.30712500000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":13.019425000000012,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":41.281225000000006,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":350.717225,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":347.928525,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":5.5782,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":185.5782,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","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":2321,"month":5,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2568927.770833,"kali_year":5423,"ahargana":1980462.2708,"sun":{"sidereal_longitude":30.5881,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":310.8907,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":280.3026,"elapsed_within_tithi_degrees":4.3026},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":310.8907,"elapsed_within_degrees":4.224},"yoga":{"number":26,"name":"Indra","sum_longitude":341.4787},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.671,"elongation":79.697},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.671,"opposition_distance":100.303}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2378,"vikram_samvatsara":"Ānanda","saka_samvat":2243,"saka_samvatsara":"Plava","bengali_samvat":1728,"malayalam_era":1497,"nanakshahi_year":852,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Navamī · Vikram 2378 Ānanda · Śaka 2243 Plava"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"2321-05-21T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga May 21, 2321 CE · Vidhyamitra","description":"Vedic pañchāṅga for May 21, 2321 CE: Kṛṣṇa Navamī · Śatabhiṣā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2321-05-21","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2321-05-21","sa":"https://sa.vidhyamitra.com/day/2321-05-21","hi":"https://hi.vidhyamitra.com/day/2321-05-21","x-default":"https://vidhyamitra.com/day/2321-05-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T15:43:34.478Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-03T15:43:34.478Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}